Respuesta :

Answer:

[tex]y=-314x-1261[/tex]

Step-by-step explanation:

When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.

[tex]y=mx+b\\-5=-314(-4)+b[/tex]

Now we solve

[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]

So now that we know everything we need we plug in and....

[tex]y=mx+b\\y=-314x-1261[/tex]

we've got our equation!

Answer:

The line slants upward, so the slope is positive.