Question

Find the equation that represents the proportional relationship in this graph, for y in terms of x.

Answer 1

y=
`(3)/(8)`x

Explanation:

First, let's understand what the question is asking us. The question is asking us to find the equation for the line shown in the graph in slope-intercept form (y=mx+b). In slope intercept form, m is the slope and b is the y-intercept. So, to find the equation of the line, we will need to find the slope and y-intercept.

Slope (m):

Slope can be found by rise over run. In other words, slope is the amount you go up or down divided by the amount you go to the left or right. To find slope, you need to look at 2 points. I'm choosing to look at the points (0,0) and (8,3). To get from (0,0) to (8,3), we need to go up 3 and to the right 8. This means that our slope is 3/8.

Y-intercept (b):

To find the y-intercept, you need to find where the line crosses the y-axis. In the graph shown, the line crosses the y-axis at y=0. This means that our y-intercept is 0.

Slope-intercept form equation:

Now, let's use the information we found to create the equation for the line!

y=mx+b

y=
`(3)/(8)`x+0 or just y=
`(3)/(8)`x

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