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

Answer:

B

Step-by-step explanation:

Answer 2

Answer:

-11

Step-by-step 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.