Question 325883
First find the slope.

Let m = slope

m = (10 - 6)/(7 - 5)

m = 4/2

m = 2

The slope is 2.

We now use the point-slope formula.  In the point-slope formula, we use one of the given points and the slope.

y - b = m(x - a)....This is the point-slope formula.

I will use (5,6), where a = 5 and b = 6.  The slope is 2.

y - 6 = 2(x - 5)

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

Did you follow?