Question

write the equation in slope intercept form of the line that passes through the given point and has the given slope.

(4,-7);m=-1/4​

Answer 1

Answer:

$y=\frac{-1}{4}x-6$

Step-by-step explanation:

Remember slope-intercept form:

$y=mx+b$, where $m=$ slope and $b=$ y-intercept.

Let's start filling in our equation. We are given $m$, so that can go in.

$y=\frac{-1}{4}x+b$

Next, we need the y-intercept of a line that passes through the point (4,-7). Well, all we need to do is plug those x and y values into the equation.

$-7=\frac{-1}{4} (4)+b$

$-7=-1+b$

Solve for $b$:

$b=-6$

Now plug the information back into the form.

$y=\frac{-1}{4}x-6$

Hope this helps!