Answer:
y = -2/3x + 2
Step-by-step explanation:
Background: The equation describing the line is in the form y = mx+b. This is called slope intercept form, where m is the slope and b is the y intercept.
Solution: A perpendicular line has a slope that is the "negative reciprocal" to the original line. So if the original line had a slope of 3/2, the perpendicular line must have a slope of -2/3. Thus the new equation becomes y = -2/3x + b
To find b (the y intercept), we can plug in the point given into our new equation:
4 = -2/3 * (-3) + b
Simplifying, we get:
4 = 2 + b
To make this true, b must be 2. Therefore, the equation becomes:
y = -2/3x + 2
