Question

Write an equation that gives the proportinal relationship of the graph

Answer 1

y=5x

Explanation:

The slope-intercept form of the equation of a line is:

`y=mx+b\text{ where }\begin{cases}m=\text{slope} \\ b=y-\text{intercept}\end{cases}`

First, we find the slope of the line by picking two points from the line.

• The points are (0,0) and (3,15).

`\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}=(15-0)/(3-0)=(15)/(3) \\ \implies m=5 \end{gathered}`

Next, the line crosses the y-axis at y=0.

Therefore, the y-intercept, b=0.

Substitute m=5 and b=0 into the slope-intercept form:

`\begin{gathered} y=5x+0 \\ \implies y=5x \end{gathered}`

The equation that gives the proportional relationship of the graph is y=5x.