Respuesta :

Answer:

[tex]r=64[/tex]

Step-by-step explanation:

First, let's start with what we have. If we use [tex]y=mx+b[/tex] here's what we can put in:

[tex]y=-4x+b[/tex]

Then we can use one of the given points to find the y-intercept. Since the only complete one is (12,10), we'll use that.

[tex]10=-4(12)+b\\10=-48+b\\58=b[/tex]

So now we have [tex]y=-4x+58[/tex].

Now we can use our other point with the missing y-value and solve for y.

[tex]r=-4(-2)+58\\r=64[/tex]

So the missing value is 64.

Hope this helps!