Answered

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The points (80,20) and (120,30) form a proportional relationship. What is the slope of the line that passes through these points

A. 1/4
B. 4
C. 10
D. 40

Sagot :

theleangreenbean

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug the given points (80,20) and (120,30) into the equation

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{30-20}{120-80}\\= \frac{10}{40}\\= \frac{1}{4}[/tex]

Therefore, the slope of the line that passes through these points is [tex]\frac{1}{4}[/tex].

I hope this helps!

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