Question

Complete the equation of the graphed linear function in point-slope form.

Answer 1

The point-slope form:
$y-y_1=m(x-x_1)$
m - slope
x₁, y₁ - the coordinates of a point

It passes through the points (1,-2) and (2,2).
$(1,-2) \\ x_1=1 \\ y_1=-2 \\ \\ (2,2) \\ x_2=2 \\ y_2=2 \\ \\ m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{2-1}=\frac{2+2}{1}=4$

$\boxed{y-(-2)=4(x-1)}$