The slope of the line that contains points E and F is [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
The slope of a line that contains points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
→ Let point E is [tex](x_{1},y_{1})[/tex]
→ Let point F is [tex](x_{2},y_{2})[/tex]
∵ Point E is (0 , 0)
∵ Point F is (a , b)
∴ [tex]x_{1}[/tex] = 0 , [tex]x_{2}[/tex] = a
∴ [tex]y_{1}[/tex] = 0 , [tex]y_{2}[/tex] = b
Substitute these values in the rule of the slope above
∴ m = [tex]\frac{b-0}{a-0}[/tex]
∴ m = [tex]\frac{b}{a}[/tex]
The slope of the line that contains points E and F is [tex]\frac{b}{a}[/tex]
Learn more:
You can learn more about slope in brainly.com/question/10712420
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