The slope of line passing through the points (4, 4) and (10, 7) is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
<em><u>Solution:</u></em>
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
and
is given as:
![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
Given two points are (4, 4) and (10, 7)
![\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7](https://tex.z-dn.net/?f=%5Ctext%7B%20Here%20%7D%20x_1%20%3D%204%20%3B%20y_1%20%3D%204%3B%20x_2%20%3D%2010%3B%20y_2%20%3D%207)
Substituting the values in formula, we get
![\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%26m%3D%5Cfrac%7B7-4%7D%7B10-4%7D%5C%5C%5C%5C%26m%3D%5Cfrac%7B3%7D%7B6%7D%5Cend%7Baligned%7D)
Reducing to lowest terms, we get
![m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D)
Thus slope of line passing through given points is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)