Question

Which equation could represent the relationship shown in the scatter plot?

A. y=−3x−2y=−3x−2

B. y=−23x+1y=−23x+1

C. y=−34x+10y=−34x+10

D. y=9x−12

Answer 1

C. y=−3/4x+10

Explanation:

We can see from the scatter plot that this is a decreasing correlation; as the independent variable increases, the dependent variable decreases. This means the slope, or rate of change, will be negative.

Additionally, we can see that the y-intercept, the point where the data crosses the y-axis, will be greater than 9. This leaves C, y=−3/4x+10, as our only option.

Answer 2

I believe the correct answer from the choices listed above is option C. The equation that could represent the relationship shown in the scatter plot would be y=−34x+10. From the graph, most likely its y-intercept is around the value of 10 and also it will have a negative slope so C is the closest.