Question

Complete the point-slope equation of the line through (-1,-10)(−1,−10)left parenthesis, minus, 1, comma, minus, 10, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis.

Answer 1

y + 10 =2( x +1)

or

y -2 + 2( x -5)

These both name the same line.

Explanation:

First we need to find the slope. The slope is the change in y over the change in x. In the point (-1,-10)

-1 is the x and -10 is the y.

In the point (5,2)

5 is the x and 2 is the y.

`(2- -10))/(5 - -1))` Subtracting a negative is the same as adding a positive.

`(2+ 10)/(5+1)` =
`(12)/(6)` = 2

We know know the slope. We will use the form

y -
`y_(1)` = m (x-
`x_(1)`) we will plug in the numbers that we know.

If we use point (-1, -10)

y -- -10 = 2(x - -1)

y + 10 = 2( x+1)

If we use the point (5,2)

y -2 = 2(x -5)

Both equations mean the same thing.