Question

Write the equation of the line that passes through points (-2,0) and (3,4) in point-slope form.

Answer 1

y-0 =
`(4)/(5)`(x +2)

or

y - 4 =
`(4)/(5)`(x -3)

These both mean the same thing.

Explanation:

First, we have to find the slope. The slope is the change in y over the change in x.

Our y's are 4 and 0 and your x's are 3 and -2

`(4-0)/(3- - 2)` =
`(4-0)/(3+2)` =
`(4)/(5)`

Now that we have the slope, we can use either point to write the eqation.

If we use point (-2,0)

The equation is

y -
`y_(1)` == m(x -
`x_(1)`

y - 0 =
`(4)/(5)` (x - -2)

y - 0 =
`(4)/(5)`(x +2)

If we use the point (3,4)

y-4 =
`(4)/(5)`(x -3)