The slope of this graph is - 4
Step-by-step explanation:
The slope of a line is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where
- [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points on the line
- The slope of a horizontal line is zero
- The slope of a vertical line is undefined
∵ The graph is a line
∵ The line passes through points (1 , -2) and (0 , 2)
∴ [tex]x_{1}[/tex] = 1 and [tex]x_{2}[/tex] = 0
∴ [tex]y_{1}[/tex] = -2 and [tex]y_{2}[/tex] = 2
- Substitute these values in the rule below
∵ [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{2}}[/tex]
∴ [tex]m=\frac{2--2}{0-1}=\frac{4}{-1}[/tex]
∴ m = - 4
The slope of this graph is - 4
Learn more:
You can learn more about the slope of a line in brainly.com/question/4152194
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