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