232k views
10 votes
Find the equation of the line parallel to to -2x + 3y = 11 and passes through the points (3, -2)

1 Answer

4 votes

Answer:

2x -3y = 12

Explanation:

The parallel line will have the same variable coefficients, but a different constant appropriate to the given point. Using that point, we find the constant to be ...

-2x +3y = constant

-2(3) +3(-2) = -6 -6 = -12

The equation can be written ...

-2x +3y = -12

We prefer the "standard form", which has a positive leading coefficient. To get that, we can multiply the equation by -1.

2x -3y = 12

Find the equation of the line parallel to to -2x + 3y = 11 and passes through the-example-1
User Tdsymonds
by
3.5k points