Question

What is the equation of the line that passes through the points (2, 6) and (4, 10)?

Answer 1

Find the slope 

10 - 6 = 4
4 - 2 = 2

4/2 = 2
Slope = 2

Now find y intercept 

y - 10 = 2(x - 4)
y - 10 = 2x - 8
    +10        +10

Answer: y = 2x + 2

Answer 2

Using the y=mx+b method and y1-y2/x1-x2
it would look like this 

6-10=-4
divide
2-4=-2
and m=2 (slope)
then using y=mx+b
plug n chug

6=2(2)+b
6=4+b
b=2

thus, your equation is 

y=2x+2