which eqn graphs line parallel to y=-ax+b thru (-1,2)? (& 17 other probs)

palmz

New member
Joined
Jul 20, 2015
Messages
3
1. Which of the following equations represents the graph of a line that is parallel to the graph of y=-ax+b and goes through the point (-1,2)?
a. y+2=-a(x-1)

b. y-2=-a(x+1)

c. y+2=(1/a)(x-1)

d. y-2=(1/a)(x+1)

2. Determine the slope of the line -3x+6y=2
a. 1/2

b. -1/2

c. 2

d. -2

e. none

3. Determine the x-intercept for the line 2x-7y=14
a. (7,0)

b. (-7,0)

c. (2,0)

d. (-2,0)

e. none

4. The line L1 passes through the points (-2,6) and (10,2) and L2 passes through the points (-3,5) and (0,6) L1 AND L2 are
a. parallel

b. perpendicular
c. neither

5. Find an equation for a line passing through the point (0,4) and perpendicular to the line 5x+2y=3. You may write your answer in any of the three forms: point-slope, slope-intercept, or standard form


Use the following situation to answer the following questions:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due east



6. Who reaches the store first? By how much time? Round to the nearest hundredth if needed.
7. If they keep driving and do not stop at the store, how long will it take for them to pass on the road? Where relative to the store is this. Round the time to the nearest thousandth and the distance to the nearest tenth if needed.


Use the following situation to answer the questions that follow:
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t)=-16t^2+32t+6



8. What is the y-intercept and what does it mean?
9. When is the ball at it's maximum height? Round to the nearest hundredth if needed.
10. What is the maximum height of the ball? Round to the nearest tenth if needed.
11. Describe in detail two ways to find the maximum height reached by the ball.


Use y=3x^2+18x-2 to answer the following questions:


12. What is the vertex?
13. (1,19) is a point on the graph. What point is the reflection of (1,19) across the axis of symmetry of the parabola?


14. What are two different ways that you may find the zeros of a quadratic function? State whether or not each method will work with all quadratic functions.
15. If k is a non-zero constant, determine the vertex of the function y=x^2-2kx+3 in terms of k
a. (k, k^2-2k+3)

b. (-k, -k^2+3)

c. (-k, k^2+2k+3)

d. (k, -k^2+3)

e. none

16. If a is a non-zero constant, determine the vertex of y=-3(x+a)^2-6
a. (a, -6)

b. (-a, -6)

c. (a, 6)

d. (-a, 6)

e. none

17. Factor and solve 2x^2+x-10=0. Show the result of your factoring below and then show the values of x that you obtain when you solve.
18. Solve by graphing 3x^2+5x-2=15. Find the x-values and round each result to the nearest thousandth.
 
Last edited by a moderator:
1. Which of the following equations represents the graph of a line that is parallel to the graph of y=-ax+b and goes through the point (-1,2)?
a. y+2=-a(x-1)

b. y-2=-a(x+1)

c. y+2=(1/a)(x-1)

d. y-2=(1/a)(x+1)

2. Determine the slope of the line -3x+6y=2
a. 1/2

b. -1/2

c. 2

d. -2

e. none

3. Determine the x-intercept for the line 2x-7y=14
a. (7,0)

b. (-7,0)

c. (2,0)

d. (-2,0)

e. none

4. The line L1 passes through the points (-2,6) and (10,2) and L2 passes through the points (-3,5) and (0,6) L1 AND L2 are
a. parallel

b. perpendicular
c. neither

5. Find an equation for a line passing through the point (0,4) and perpendicular to the line 5x+2y=3. You may write your answer in any of the three forms: point-slope, slope-intercept, or standard form


Use the following situation to answer the following questions:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due east



6. Who reaches the store first? By how much time? Round to the nearest hundredth if needed.
7. If they keep driving and do not stop at the store, how long will it take for them to pass on the road? Where relative to the store is this. Round the time to the nearest thousandth and the distance to the nearest tenth if needed.


Use the following situation to answer the questions that follow:
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t)=-16t^2+32t+6



8. What is the y-intercept and what does it mean?
9. When is the ball at it's maximum height? Round to the nearest hundredth if needed.
10. What is the maximum height of the ball? Round to the nearest tenth if needed.
11. Describe in detail two ways to find the maximum height reached by the ball.


Use y=3x^2+18x-2 to answer the following questions:


12. What is the vertex?
13. (1,19) is a point on the graph. What point is the reflection of (1,19) across the axis of symmetry of the parabola?


14. What are two different ways that you may find the zeros of a quadratic function? State whether or not each method will work with all quadratic functions.
15. If k is a non-zero constant, determine the vertex of the function y=x^2-2kx+3 in terms of k
a. (k, k^2-2k+3)

b. (-k, -k^2+3)

c. (-k, k^2+2k+3)

d. (k, -k^2+3)

e. none

16. If a is a non-zero constant, determine the vertex of y=-3(x+a)^2-6
a. (a, -6)

b. (-a, -6)

c. (a, 6)

d. (-a, 6)

e. none

17. Factor and solve 2x^2+x-10=0. Show the result of your factoring below and then show the values of x that you obtain when you solve.
18. Solve by graphing 3x^2+5x-2=15. Find the x-values and round each result to the nearest thousandth.

You have posted 31 problems without showing a line of work!

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "
Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting
 
Since you've shown no effort on any of these, I'll assume that you've missed a month or so of class, and are needing lesson links, so you can try to get caught up.

1. Which of the following equations represents the graph of a line that is parallel to the graph of y=-ax+b and goes through the point (-1,2)?
a. y+2=-a(x-1), b. y-2=-a(x+1), c. y+2=(1/a)(x-1), d. y-2=(1/a)(x+1)
To learn how to work with line equations, try here.

2. Determine the slope of the line -3x+6y=2
To learn how to solve equations of the form above for the slope-intercept form, try here. To learn about slopes, try here.

3. Determine the x-intercept for the line 2x-7y=14
To learn about x- and y-intercepts, try here.

4. The line L1 passes through the points (-2,6) and (10,2) and L2 passes through the points (-3,5) and (0,6) L1 AND L2 are: a. parallel, b. perpendicular, c. neither
To answer this, study the link for slopes.

5. Find an equation for a line passing through the point (0,4) and perpendicular to the line 5x+2y=3.
To answer this, study the links for slopes and for straight-line equations.

Use the following situation to answer the following questions:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due east

6. Who reaches the store first? By how much time? Round to the nearest hundredth if needed.
7. If they keep driving and do not stop at the store, how long will it take for them to pass on the road? Where relative to the store is this. Round the time to the nearest thousandth and the distance to the nearest tenth if needed.
To learn how to set up and solve this sort of uniform-rate exercise, try here.

Use the following situation to answer the questions that follow:
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t)=-16t^2+32t+6

8. What is the y-intercept and what does it mean?
To answer this, study the link above for intercepts. Also, try here. (This link discusses the y-intercept within the context of straight-line equations, but the "meaning" part is the same as for this quadratic context.)

9. When is the ball at it's maximum height? Round to the nearest hundredth if needed.

10. What is the maximum height of the ball? Round to the nearest tenth if needed.
11. Describe in detail two ways to find the maximum height reached by the ball.
To learn about quadratic word problems, try here.

Use y=3x^2+18x-2 to answer the following questions:

12. What is the vertex?
13. (1,19) is a point on the graph. What point is the reflection of (1,19) across the axis of symmetry of the parabola?
To learn how to find the vertex, try here. To learn about graphing parabolas, try here.

14. What are two different ways that you may find the zeros of a quadratic function? State whether or not each method will work with all quadratic functions.
This is asking you for your thoughts, based on your own experience.

15. If k is a non-zero constant, determine the vertex of the function y=x^2-2kx+3 in terms of k
Use the link for finding the vertex.

16. If a is a non-zero constant, determine the vertex of y=-3(x+a)^2-6
Use the link for finding the vertex.

17. Factor and solve 2x^2+x-10=0. Show the result of your factoring below and then show the values of x that you obtain when you solve.
To learn how to factor quadratics, try here.

18. Solve by graphing 3x^2+5x-2=15. Find the x-values and round each result to the nearest thousandth.
Use the link for graphing quadratics.

If you get stuck on any of the above, please reply showing all of your efforts for that exercise, so we can see where things are going sideways. Thank you! ;)
 
Top