Question

Which is the slope-intercept form of the equation for the line that passes through the
points (2,5) and (4, 13)?

Answer 1

Answer:

y=4x-3

Step-by-step explanation:

Find the slope for your equation by calculating the change in y over change in x ∆y/∆x or (y2-y1)/(x2-x1)

13-5=8

4-2=2

8/2=4

We now need to use one of these coordinates to finish the equation y=4x+b

5=4(2)+b

5=8+b

b=-3

Now we rewrite our equation in slope int form as y=4x-3

You can check your work by using the other coordinate (4, 13) and see the equation balances.