Answer:
y - 3 = -2(x + 4)
Step-by-step explanation:
Point slope form: y - y1 = m(x - x1)
Slope equation from two points: y2-y1/x2-x1
The first step is to find the slope of the perpendicular line. Use the slope equation from above.
1 - (-3)/4 - (-4)
4/8
1/2
The slope of the line with the points (-4, -3) and (4, 1) is 1/2. To find the perpendicular slope, find the opposite reciprocal of 1/2. The answer is -2.
Now that you have a point and a slope, you can plug the values in to the point slope form equation from above.
y - 3 = -2(x + 4)