Question

Nafessa graphs a line with slope 5 that passes through the point (3,-2).

Answer 1

We know m = 5, x = 3, and y = -2, and that the point slope form is y = mx + b, so plugging these in we can solve for b;

-2 = 5 * 3 + b

-2 = 15 + b

b = -17

So the equation for the line would be;

y = 5x - 17

b is the y intercept, so that is answered (0,-17), to solve for the x intercept you have to plug 0 in for y in the equation, so;

0 = 5x - 17

17 = 5x

x = 17/5

So the x intercept would be (17/5,0)