In order to find the slope and y-intercept of this graph, let's use some points that are on the line.
We have the point (0, 0) as a solution of the equation, which means the y-intercept is 0.
(The y-intercept is the value of y when x = 0).
Now, to find the slope, we can use the formula below with the points (0, 0) and (10, 5):
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{10-0}=\frac{5}{10}=\frac{1}{2}[/tex]
Therefore the slope is m = 1/2 and the y-intercept is b = 0, so the equation is:
[tex]y=\frac{1}{2}x[/tex]
