Slope-intercept form of line: (2, -7), y = x - 2

[jb]

I am sooo stuck. Please Help!! How do I find the answer to the following?

Directions: Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation.

(2, -7), y = x - 2

 

[Mrspi]

Re: Slope-inteercept forms

Directions:
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation.

(2, -7), y = x -2

The given line, y = x - 2, is already in slope-intercept form. The slope of this line is 1.

And parallel lines have the SAME slope, so the line you are looking for will also have a slope of 1. We can begin its equation, then, by writing

y = x + b

Since the point (2, -7) is on this new line, the equation must be true if we substitute 2 for x and -7 for y:

-7 = 2 + b
-9 = b

Ok...so the equation you are looking for, then, is
y = x - 9

I hope this helps you.

 

[jb]

Thank you very much!! It helped a lot!