Question

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

HELP

Answer 1

Answer:
`y=-(2)/(3)x-5`

Explanation:

Parallel lines have the same slope.

`2x+3y=3\\\\3y=-2x+3\\\\y=-(2)/(3)x+1`

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

So, the equation is:

`y+1=-(2)/(3)(x+6)\\\\y+1=-(2)/(3)x-4\\\\y=-(2)/(3)x-5`