Question

What is the slope of the line that goes through the points (4,-1) and (3,8)?

Answer 1

Answer:

The slope of the line is $-9$

Step-by-step explanation:

Given points are $(4,-1)\ and\ (3,8)$.

The slope is change in y-coordinate over the change in x-coordinate

 $m=\frac{y_2-y_1}{x_2-x_1}$

And, we have

$(x_1,y_1)=(4,-1)\\(x_2,y_2)=(3,8)$

Plug the formula of the slope we get,

$m=\frac{8-(-1)}{3-4}\\\\m=\frac{8+1}{3-4}\\\\m=\frac{9}{-1}\\\\m=-9$

So, the slope of line passing through $(4,-1)\ and\ (3,8)$ is $m=-9$