The slope of the line is [tex]\frac{1}{3}[/tex] ⇒ last answer
Step-by-step explanation:
The formula of 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] , [tex](x_{2},y_{2})[/tex] are two points lie on it
The given is:
We need to find its slope
∵ The line passes through the origin (0 , 0)
∵ The line passes through the point (6 , 2)
∴ [tex]x_{1}[/tex] = 0 and [tex]x_{2}[/tex] = 6
∴ [tex]y_{1}[/tex] = 0 and [tex]y_{2}[/tex] = 2
- Substitute these values in the formula of the slope above
∵ [tex]m=\frac{2-0}{6-0}=\frac{2}{6}[/tex]
- Divide up and down by 2 to reduce the fraction
∴ [tex]m=\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{1}{3}[/tex]
Learn more:
You can learn more about the slopes of the line in brainly.com/question/1979240
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