Question

What is the slope of the line that passes through the points (4, 4)(4,4) and (10, 7) ?(10,7)? Write your answer in simplest form.

Answer 1

The slope of line passing through the points (4, 4) and (10, 7) is $\frac{1}{2}$

Solution:

Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)

The slope of line passing through $(x_1 , y_1)$ and $(x_2, y_2)$ is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Given two points are (4, 4) and (10, 7)

$\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7$

Substituting the values in formula, we get

$\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}$

Reducing to lowest terms, we get

$m=\frac{1}{2}$

Thus slope of line passing through given points is $\frac{1}{2}$