Question

Write an equation of the line that passes through P(0, 0) and is parallel to the line y=4x-7. Your answer should be written in slope-intercept

Answer 1

`y=4x`

Explanation:

Slope-intercept form:

`y=mx+b\\`

m is the slope

b is the y-intercept

Parallel lines have the same slope, therefore we know that our new line will have the slope m = 4.

Since the point is the origin (0,0) we also know that the y-intercept will be 0.

Using this information, write the equation of the line:

`y=4x+0`

Simplify:

`y=4x`