Hi. Please, explain the solution to this question:

If the slope of a linear equation f(x) is 2 and the y intercept is -2, then what is the y intercept of 3f(x-2)-3

If you know the slope and the *y*-intercept, then you know all you need to put the *f*(*x*) into slope-intercept form (*y* = *mx* + *b*, where *m* is the slope and *b* is the *y*-intercept). In this case, you have .

To go from there to , your first step should be to get the out of there. To do that, just put in everywhere the original function has :

If , then , which simplifies to .

Once you’ve got that, substitute and simplify:

That’s in *mx* + *b* form, so the *y*-intercept is –21.