Question

A line passes through (-3,-2) and is perpendicular to 3x - 2y = 7.

What is the equation of the line in slope-intercept form?

Answer 1

y=-2/3x

Explanation:

Perpendicular gradients(slopes) are negative reciprocals so first rearrange the given equation to find the gradient. y=3/2x-7/2

the gradient of the new line will be m=-2/3 then use the point (-3,-2) to find the equation of the line

y=mx+b

-2=(-2/3)(-3)+b

-2=2+b

b=0

y=-2/3x