Answer:
The slope of the line passing through the points (1,3) and (8,7) is [tex]\frac{4}{7}[/tex]
Solution:
We know the slope intercept of the line is given by y = mx + c, where m is the slope of the line and c is a constant.
To find the value of ‘m’ we use the given formula:
[tex]\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2-} x_{1}}[/tex]
Here we get [tex]x_{1}=1 ; x_{2}=8 ; y_{1}=3 ; y_{2}=7[/tex]
Substituting the values in formula for m, we get
[tex]\mathrm{m}=\frac{7-3}{8-1}[/tex]
[tex]\mathrm{m}=\frac{4}{7}[/tex]
Therefore the slope of the line passing through the points (1,3) and (8,7) is [tex]\frac{4}{7}[/tex]
