What is the slope, m, and y-intercept for the line that is plotted on the grid below?
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Answer: The slope of the line is 2 and the y-intercept is (0,4).
Explanation:
In the given figure the line intersect the y axis at y=4 and x-axis at x=-2, therefore the y-intercept is (0,4) and x-intercept is (-2,0).
The slope of a line which passing through two points is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passing through two points (0,4) and (-2,0).
[tex]m=\frac{0-4}{-2-0}[/tex]
[tex]m=\frac{-4}{-2}[/tex]
[tex]m=2[/tex]
Therefore the slope of the line is 2 and the y-intercept is (0,4).