Question

What is the equation of the line parallel to the graph of y = 5x -3 and through the origin?

Answer 1

This is in slope-intercept form, which makes it easier to solve.
\[y=mx+b\]
Where b is the y intercept, in the question, the case would be -3, if there was no b, what would the y intercept be?
To find a parallel line to another line on a graph, it must have the same slope, where a perpendicular line must have a slope which is the reciprocal of the original. For example, 1/3 would be a slope perpendicular to your line. But since it is parallel, we use the same slope. Can you solve it?

Answer 2

y = 5x - 3

Answer 3

Your slope is right, but the -3 means it's the same line, which is not parallel, and does not cross the origin. (0,0) is the origin of a graph. For your original equation the line crosses (0,-3), but you want it to cross (0,0). So take just y = 5x to find your parallel line that crosses the origin.

Answer 4

oh ok i get it thanks

Answer 5

Yup :)