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=(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=(10+2)/(3+1) \cdot (x+1)`

`y+2=(12)/(4) \cdot (x+1)`

`y+2=3 \cdot (x+1)`

From this you get the equation of your line:

`y(x)=3x+1`