Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of the line which connects them is
[tex]m=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
So, in your case, the slope is
[tex]m=\dfrac{8-7}{5-4}=\dfrac{1}{1}=1[/tex]
The slope of the line passing through (4, 7) and (5, 8) is 1
The formula for calculating the slope of a line is expressed as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the coordinate points (4, 7) and (5, 8), the slope of the line is calculated as:
[tex]m=\frac{8-7}{5-4}\\m =\frac{1}{1}\\m = 1[/tex]
Hence the slope of the line passing through (4, 7) and (5, 8) is 1
Learn more here: https://brainly.com/question/16949303
