Question

The table below shows the relationship between the numbers of hours a student study in their grade on a certain test. I need the linear problem to this to find which best fits

Answer 1

An equation that represents the relationship between the numbers of hours a student study in their grade on a certain test is y = 12.5x + 27.5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

`y - y_1 = m(x - x_1)`

Where:

• x and y represent the data points.
• m represent the slope.

First of all, we would determine the slope for the line of best fit by using these points (1, 40) and (5, 90);

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Slope (m) = (90 - 40)/(5 - 1)

Slope (m) = 50/4

Slope (m) = 12.5

At data point (1, 40) and a slope of 12.5, a function for this line can be calculated by using the point-slope form as follows:

`y - y_1 = m(x - x_1)`

y - 40 = 12.5(x - 1)

y = 12.5x - 12.5 + 40

y = 12.5x + 27.5