Question

Find a given that the line through M(-2, a) and N(0, -2) has gradient -4

Answer 1

a=6

1) Given that we have M (-2, a), N(0, -2), and the gradient -4. Let's start by applying the formula for the gradient.

G = (y_2 - y_1 ) / (x_2- x_1)

2) So "a", the second coordinate of point M is equal to 6, and as the gradient is a negative number indicates a "downhill" a decreasing direction of that line.