To find which line has a slope of -5, let’s evaluate each equation:
A. y = 5x + 6
This is in slope-intercept form y = mx + b, where the slope m is 5, not -5.
B. y + 1 = −5(x − 4)
This is in point-slope form , where the coefficient of (x − 4) is -5. Thus, the slope is -5.
C. 4x + y = 8
Rewrite this in slope-intercept form: y = −4x + 8. The slope is -4, not -5.
D. 2y = −5x + 9
Solve for y to find the slope: