Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{4}{5} x[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1 }{x_2-x_1}[/tex] and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:
[tex]m = \frac{4-0}{5-0} \\m = \frac{4}{5}[/tex]
So, the slope is [tex]\frac{4}{5}[/tex].
2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.
3) Now, write the equation of the line in slope-intercept form using the [tex]y = mx + b[/tex] format. The number in place of [tex]m[/tex] represents the slope, so substitute [tex]\frac{4}{5}[/tex] in its place. The number in place of [tex]b[/tex] represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:
[tex]y =\frac{4}{5} x+0\\y = \frac{4}{5} x[/tex]
