Question

Which equation represents a line that passes through (2, -3) and has a slope of 4?

Answer 1

Given the slope
`m` of a line and a point
`(x_0,y_0)` belonging to the line, the equation of the line is

`y-y_0=m(x-x_0)`

In your case,
`m=4` and
`(x_0,y_0)=(2,-3)`

So, the equation is

`y+3=4(x-2)\iff y=4x-8-3 = 4x-11`