The slope is m = 3.5; and the y-intercept is b = -6
Determining slope and y-intercept of a Line
From the question, we are to determine the slope and the y-intercept of the line.
The slope of a line can be determine by picking any two points on the line.
Then applying the formula,
[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Where m is the slope
Picking the points (2,1) and (0,-6).
∴[tex]x_{1} = 2[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}=1[/tex]
[tex]y_{2}=-6[/tex]
Then, the slope of the line in the graph is
[tex]m = \frac{-6-1}{0-2}[/tex]
[tex]m =\frac{-7}{-2}[/tex]
m = 3.5
For the y-intercept
The y-intercept is the point where the graph intersects the y-axis
From the graph,
The point where the line intersects the y-axis is -6.
∴ y-intercept, b = -6
Hence, the slope is m = 3.5; and the y-intercept is b = -6
Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589
