Question

Find an equation of the line passing through the given points. Express your answer in slope-intercept form.

(-2,-11) and (7,16)

Answer 1

y = 3x - 5

Explanation:

We need the slope and the y intercept to write the equaion.

The slope is the change in y over the change in x.

The y's are 16 and -11.

The x's are 7 and -2

`(16 - - 11)/(7- - 2)` =
`(16+ 11)/(7 + 2)` =
`(27)/(9)` = 3

3 is our slope (m).

To find b, we will use the slope (3) and one of the points. I am going to use (-2,-11)

slope (m) = 3

y = -11

x = -2

y = mx + b

-11 = (3)(-2) + b

-11 = -6 +b Add 6 to both sides of the equation

-5 = b

-5 is your y-intercept (b).

y = mx + b

y = 3x -5