Question

On a coordinate plane the graph of a line passes

through the origin and the point (9,12) What is
the equation of the line?

Answer 1

y = (4/3)x

Explanation:

Two points on the line are the origen (0, 0) and the given (9, 12).

Starting at the origin and moving to (9, 12), we see the change in x being 9 and that in y being 12. Thus, the slope of the line through these two points is m = rise/run = 12/9 = 4/3.

Thus the equation of the line in slope-intercept form is y = (4/3)x + 0, or

just y = (4/3)x