The slope of the line is -8
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.
Answer:
[tex]m=-8[/tex]
Step-by-step explanation:
We have been given coordinates of two points on a line and we are asked to find the slope of the line running through the given points.
We will use slope formula to solve our given problem.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where,
[tex]m=\text{Slope of line}[/tex],
[tex]y_2-y_1=\text{Difference between two y-coordinates}[/tex],
[tex]x_2-x_1=\text{Difference between two x-coordinates of same y-coordinates}[/tex].
Let point [tex](0,6)=(x_1,y_1)[/tex] and point [tex](1,-2)=(x_2,y_2)[/tex].
Upon substituting coordinates of our given points in slope formula we will get,
[tex]m=\frac{-2-6}{1-0}[/tex]
[tex]m=\frac{-8}{1}[/tex]
[tex]m=-8[/tex]
Therefore, the slope of line passing through our given points is [tex]-8[/tex].
