find equations for parallel and perpendicular lines

[viberent]

find an equation in standard form for the lines described.

(a) through (1,2) parallel to 3x-2y=1000
(b) through (2, -1) perpendicular to 2x+6y=2000

so far I have
3x-2y=1000
-2y=3x+1000
y=3/2x+1000/2
m=3000/2

 

[pka]

Parallel lines have the same slope.

Perpendicular line have slopes that multiply to -1. That is, if one line has slope (2/3) the perpendicular line has slope (-3/2).

 

[stapel]

I will guess that you are working on exercise (a), but are not familiar with straight-line equations (since you aren't familiar with what "m" stands for, it would appear).

In the line equation, "y = mx + b", the "m" is the slope value and the "b" is where the line intersects the y-axis. To find the slope of a line in "y = mx + b" form, you would look for the "m" value, not the "b" value.

For further information, try the following:

. . . . .Google results for "slope straight line"

. . . . .Google results for "straight line equation"

Pay particular attention to the explanation of the rules for the slopes of parallel and perpendicular lines. And make sure you MEMORIZE the slope formula, the slope-intercept formula, and the point-slope formula before the next test!

Once you have learned about slopes and line equations, please attempt the exercises. If you are unsure of your steps or solutions, please reply showing all of your work and reasoning.

Thank you!

Eliz.