Respuesta :
The slope of line passing through the points (4, 4) and (10, 7) is [tex]\frac{1}{2}[/tex]
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 [tex](x_1 , y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given two points are (4, 4) and (10, 7)
[tex]\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7[/tex]
Substituting the values in formula, we get
[tex]\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}[/tex]
Reducing to lowest terms, we get
[tex]m=\frac{1}{2}[/tex]
Thus slope of line passing through given points is [tex]\frac{1}{2}[/tex]
The required slope of the line passes through points (4, 4) and (10, 7) is m = [tex]\frac{1}{2}[/tex].
Given that,
The line that passes through the points (4, 4) and (10, 7).
We have to determine,
The slope of line passes through given points.
According to the question,
The slope between two points, use the slope-point formula.
If two points, [tex](x_1, x_2)[/tex] and [tex](y_1, y_2)[/tex] the point slope formula is given by:
[tex]m =\dfrac{ (y_2-y_1)}{(x_2-x_1)}[/tex]
Where, m is the variable used to represent slope of line.
Therefore,
Slope of the line at points (4, 4) and (10, 7).
[tex]m = \frac{(7-4)}{(10-4)}\\\\m = \frac{3}{6} \\\\m = \frac{1}{2}[/tex]
Hence, The required slope of the line passes through points (4, 4) and (10, 7) is m = [tex]\frac{1}{2}[/tex].
For more information about Slope click the link given below.
https://brainly.com/question/16180119
