Question

What is an equation of the line that passes through the point (-4,-7) and is perpendicular to the line 2x+3y=18??

Answer 1

Answer:

y = 3/2x - 1

Step-by-step explanation:

Given: 2x + 3y = 18

The equation of the line in the slope-intercept form is y = -2/3x + 6.

slope = m = -2/3

The slope of the perpendicular line is negative inverse.

m = 3/2.  

Equation of the perpendicular line:

y = 3/2x + a.

Use the given point of (-4, -7) to find a:

-7 = (3/2)(-4) + a

a=−1.

y = 3/2x - 1