Question

Write A linear equation for a line passing through the point (-6,-1) and is PARALLEL to 2x + 3y = 3

Answer 1

Answer: $y=-\frac{2}{3}x-5$

Step-by-step explanation:

Parallel lines have the same slope.

$2x+3y=3\\\\3y=-2x+3\\\\y=-\frac{2}{3}x+1$

So, the slope of the line we want to find is -2/3.

So, the equation is:

$y+1=-\frac{2}{3}(x+6)\\\\y+1=-\frac{2}{3}x-4\\\\y=-\frac{2}{3}x-5$