What is the slope of the line graphed on the coordinate plane? A graph with a line running through coordinates (0, 6) and coordinates (1, -2)

Accepted Solution

AnswerThe slope of the line is -8Explanation To find the slope of our line we are going to use the slope formula:[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]where[tex]m[/tex] is the slope of the line [tex](x_{1},y_{1})[/tex] are coordinates of the first point [tex](x_{2},y_{2})[/tex] are the coordinates of the second point We know that the first point on our graph is (0, 6), so [tex]x_{1}=0[/tex] and [tex]y_{1}=6[/tex]. We also know that the second point is (1, -2), so [tex]x_{2}=1[/tex] and [tex]y_{2}=-2[/tex]. Let's replace those values in our formula:[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex][tex]m=\frac{-2-6}{1-0}[/tex][tex]m=\frac{-8}{1}[/tex][tex]m=-8[/tex]We can conclude that the slope of the line passing through the points (0, 6) and (1, -2) is -8.