Let, the points be A (8, −4) and B (1, −5). The slope of line AB exists 1/7.
Utilize the slope formula to estimate the slope of a line provided the coordinates of two points on the line.
The slope formula exists [tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex], or the difference in the y values over the difference in the x values. The coordinates of the first point symbolize [tex]$x_{1}[/tex]and [tex]$y_{1}[/tex]. The coordinates of the second points exist [tex]$x_{2} , y_{2} .[/tex]
The slope of the line exists the ratio of the rise to the run, or rise separated by the run.
[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]
The Line, AB contains points A (8, −4) and B (1, −5).
Substitute the value of points in the equation then we get
[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]
m = (-5-(-4))/(1 - 8)
Simplifying the above equation, we get
m = (-5+4)/(1 - 8)
m = (-1)/(-7)
m = 1/7
Therefore, the slope of line AB exists 1/7.
To learn more about the slope of the line refer to:
https://brainly.com/question/2410369
#SPJ9
