Answer:
y - 3 = -2(x + 4)
Step-by-step explanation:
First, we must find the slope of the line by using the two points.
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m = \frac{1-(-3)}{4-(-4)} = \frac{1+3}{4+4} = \frac{1}{2}[/tex]
The slope of a line that is perpendicular to another is the negative reciprocal of the other line's slope. So the slope of the line perpendicular to the given line is -2. Now we must write the equation in point-slope form:
[tex]y - y_{1} = m(x - x_{1})[/tex]
[tex]y - 3 = -2(x-(-4))[/tex]
[tex]y - 3 = -2(x + 4)[/tex]
