Question

Write an equation of the line that passes through the points (2,-8) and (1,7). Put your answer in fully reduced point slope form unless it is a vertical or horizontal line

Answer 1

Answer: y+8=-15(x-2)

Explanation:

Y+8=-15(x-2)

Answer 2

Equation of line is:

`y=-15x+22`

Explanation:

Given points:

(2,-8) and (1,7)

To write the equation in point slope form.

Solution:

In order to find the equation of line, we will find the slope of the line by slope formula.

The slope
`m` of the line passing through points
`(x_1,y_1)` and
`(x_2,y_2)` is given as:

`m=(y_2-y_1)/(x_2-x_1)`

Thus, slope of given line can be given as:

`m=(7-(-8))/(1-2)`

`m=(7+8)/(-1)`

`m=(15)/(-1)`

∴
`m=-15`

The point slope of the equation for line with slope
`m` passing through point
`(x_1,y_1)` is given as:

`y-y_1=m(x-x_1)`

Using point (1,7) to find the equation of line.

`y-7=-15(x-1)`

Using distribution.

`y-7=-15x+15`

Adding 7 both sides.

`y-7+7=-15x+15+7`

`y=-15x+22` [Answer]