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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

The points 8020 and 12030 form a proportional relationship What is the slope of the line that passes through these points class=

Respuesta :

y2 - y1 / x2 - x1

30-20 / 120 - 80

10/40

1/4

slope = 1/4 or .25

A proportional relationship exists when two or more items are directly proportionate, or when quantities decrease or increase in the same way.

Computation of the Slope:

[tex]\text{Slope (m)} = \frac{\text{Change in Y}}{\text{Change in X}}[/tex]

[tex]\text{Change in Y} = Y2 - Y1[/tex]

[tex]\text{Change in X} = X2 - X1[/tex]

[tex]Y2 = 30 \\Y1 = 20 \\X2 = 120\\X1 = 80[/tex]

[tex]\text{Slope (m)} = \frac{\text{30-20}}{\text{120-80}}[/tex]

[tex]\text{Slope (m)} = \frac{\text{10}}{\text{40}}[/tex]

[tex]\text{Slope (m)} = \frac{\text{1}}{\text{4}}[/tex]

Therefore, option A is the correct answer.

For more information regarding the proportional relationship, refer to the link:

https://brainly.in/question/30106519

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