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:

Equation of line is:

$y=-15x+22$

Step-by-step 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:

$m=\frac{y_2-y_1}{x_2-x_1}$

Thus, slope of given line can be given as:

$m=\frac{7-(-8)}{1-2}$

$m=\frac{7+8}{-1}$

$m=\frac{15}{-1}$

∴ $m=-15$

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]