Question

What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10)

Answer 1

First you draw a gragh then draw the points and connect them that easy

Answer 2

The equation of a line starting from two points is:
$y-y_1=\frac{y_2-y_1}{x_2-x_1} \cdot (x-x_1)$

From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10

Replace x1, y1, x2, y2 in the equation of the line and you get:
$y+2=\frac{10+2}{3+1} \cdot (x+1)$
$y+2=\frac{12}{4} \cdot (x+1)$
$y+2=3 \cdot (x+1)$

From this you get the equation of your line:
$y(x)=3x+1$