Question

Write an equation to describe the relationship shown in the graphrise/run = 80-____=___ ____-3 ____The equation of the line is y =____ x.

Answer 1

Rise/run = 20 miles/gallon

The equation of the line is y = 20x

Check Explanation for more.

Step-by-step explanation

The rise-run is another name for the slope.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

For this question,

(x₁, y₁) and (x₂, y₂) are (3, 60) and (4, 80)

x₁ = 3

y₁ = 60

x₂ = 4

y₂ = 80

`\text{Slope = }(80-60)/(4-3)=(20)/(1)=20`

The equation of the line is y = 20x

Hope this Helps!!!