Slope=-4 and Point=(2,-4) how to write it in slope-intercept form?

Answer 1

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Since you were given that the slope is m = -4, the equation of the line becomes y = -4x + b. Then, we use the point on the line (2, -4) to compute the y-intercept, b, by plugging in the corresponding values for x and y.

y = -4x + b

-4 = -4(2) + b

-4 = -8 + b

4 = b

Thus, since b = 4, the equation of the line is y = -4x + 4.