what is the slope of the line that passes through the points (1,1) and (4,4)? write your answer in simplest…

what is the slope of the line that passes through the points (1,1) and (4,4)? write your answer in simplest form.

what is the slope of the line that passes through the points (1,1) and (4,4)? write your answer in simplest form.

Answer

Explanation:

Step1: Recall slope - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $x_1 = 1,y_1 = 1,x_2 = 4,y_2 = 4$.

Step3: Substitute values into formula

$m=\frac{4 - 1}{4 - 1}=\frac{3}{3}=1$.

Answer:

1