Question

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

y – (–2) = ? (x – ?)

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=(y_2-y_1)/(x_2-x_1)=(2-(-2))/(2-1)=(2+2)/(1)=4`


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