Answer:
[tex]y +9 = -4(x - 4)[/tex]
Step-by-step explanation:
Given
[tex]m = -4[/tex] --- slope
[tex](x_1,y_1) = (4,-9)[/tex] --- point
See attachment for complete question
Required
Determine the line equation
This is calculated as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for m, x1 and y1
[tex]y - (-9) = -4(x - 4)[/tex]
Simplify the expression on the left-hand side:
[tex]y +9 = -4(x - 4)[/tex]
