Question

Write an equation that is parallel to y = 3x and passes through (-4 , -3)

Answer 1

The slopes of two parallel lines must be identical.

We have slope
`m=3`, so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form,
`y-y_1=m(x-x_1)`, where our point
`(-4,-3)` is substituted for
`(x_1,y_1)`.


`y+3=3(x+4)`

Now, we convert to slope-intercept form as such.


`y=3x+12-3\\y=3x+9`

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.