Question

Find the value of r so the line passes through each pair of points has the give slopes

Answer 1

Answer:

$r=64$

Step-by-step explanation:

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

$y=-4x+b$

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.

$10=-4(12)+b\\10=-48+b\\58=b$

So now we have $y=-4x+58$.

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

$r=-4(-2)+58\\r=64$

So the missing value is 64.

Hope this helps!