Question

What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)? –17 , –11 , 7 , 19

Answer 1

B

Explanation:

Answer 2

-11

Explanation:

There is enough information to put the equation in point slope form.

`y-y_1=m(x-x_1)`

We are given the point of (-5,4) and the slope of -3.

`y-y_1=m(x-x_1)\rightarrow \boxed{y-4=-3(x+5)}`

Now, we can take the point slope equation and convert it into slope intercept form.

`y-4=-3(x+5)\\\\\left \{ {{-3*x=-3x} \atop {-3*5=-15}} \right.\\\\ y-4=-3x-15\\\\y-4+4=-3x-15+4\\\\\boxed{y=-3x-11}`

The y-intercept should be -11.