Question

What is the slope of the line through (1,0)(1,0)left parenthesis, 1, comma, 0, right parenthesis and (3,8)(3,8)left parenthesis, 3, comma, 8, right parenthesis?

Answer 1

Answer: The slope is $4$

Step-by-step explanation:

The following formula is used to find the slope of a line:

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

You know that that line passes through these points:

$(1,0)\ and\ (3,8)$

Then you can identify that:

$y_2=0\\y_1=8\\\\x_2=1\\x_1=3$

Knowing these values you can substiute them into the formula  $m=\frac{y_2-y_1}{x_2-x_1}$  and evaluate, in order to find the slope of this line.

This is:

 $m=\frac{0-8}{1-3}\\\\m=\frac{-8}{-2}\\\\m=4$