Answer:
y - (-2) = -5 (x - 5)
Explanation:
The slope of the equation y = -5x + 3 is -5 because that is the number beside the x.
Now, a parallel line is a line with the same slope, so the slope of our line will be -5.
Then, we can find the equation of a line as:
[tex]y-y_1=m(x-x_1)[/tex]Where (x1, y1) is a point in the line and m is the slope. So, replacing (x1, y1) by (5, -2) and m by -5, we get:
[tex]y-(-2)=-5(x-5)[/tex]Therefore, the answer is y - (-2) = -5 (x - 5)
