Question

What is the slope-intercept form of the function that contains the points (5, 6) and (9, 14)?

Answer 1

The formula for slope intercept is

y=mx+b

You will need to get the slope first...

which is \[\frac{ y2-y1 }{ x2-x1 }\]

Answer 2

which is 9-5=4 and 14-6=8

Answer 3

correct, now divide

Answer 4

what do i divide?

Answer 5

8/4, just look at the slope formula, y/x

Answer 6

Any confusion ?

Answer 7

so its 2?

Answer 8

Yeah, the slope is 2. Now you have to solve for "b" in the y=mx+b

Plug in a point to the formula let's say (5,6) (in your question)

6=2(5)+b

solve for b like regular algebra

Answer 9

so b would equal 10 or no

Answer 10

6=10+b

subtract the 10 on both sides

Answer 11

so it = 4