Answer:
y = 3/2x - 1
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