What is the equation of the line in slope-intercept form?

y = ⅗x

Step-by-step explanation:

The line passes through the point of origin, (0, 0). This implies that the graph represents a proportional relationship between x and y. Thus, in slope-intercept form, the line of a proportional graph can be represented as y = mx.

Where,

m = slope/constant of proportionality = y/x

To write an equation for the line, let's find the slope using any of the points on the line.

Using (50, 30):

Slope (m) = 30/50 = ⅗

Plug in the value of m into y = mx

Thus, equation of the line would be:

y = ⅗x