Write the equation of a line that passes through (-2,6) and (2,14)in slope intercept form?

First, let's find the slope, which is the change in y divided by change in x. So, this is 8/4, which is 2. 

So, the equation is y = 2x + b. 

Now, let's plug in one of the points to get the y intercept. 

So, the equation is now this:  14 = 2(2) +b 
Solve for b:                         14 -4 = b 
                                               10 = b
So, the equation is y = 2x + 10

Hope this helps!