Answer:
gradient = -3
Step-by-step explanation:
Find the gradient using the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] is one point and [tex](x_2, y_2)[/tex] is the other point.
Let [tex](x_1, y_1)[/tex] = (-4, 4) and [tex](x_2, y_2)[/tex] = (-3, 1)
Therefore, [tex]m=\frac{1-4}{-3--4}=\frac{-3}{1} =-3[/tex]
Now use the equation of line formula: [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-4=-3(x--4)[/tex]
[tex]y-4=-3x-12[/tex]
[tex]y=-3x-8[/tex]
