Question

What is the slope of (4.5,15.5) , (5,16)

Answer 1

(y2-y1)/(x2-x1)
=(16-15.5)/(5-4.5)
=.5/.5
=1

Answer 2

How would you figure out the y-intercept?

Answer 3

first, you have to form and equation...
y-y1 = m ( x- x1)
y-16 = 1( x-5)
y=x-5+16
y= x+11--------------1
now, comparing this equation with slope intercept form of equation, i.e y=mx+c,
c = 11
i.e, y-intercept = 11
or, you can do in another way too, plug in value of x =0 , and you will get y-intercept!
:)

Answer 4

So when they ask for the slope intercept form, is that an equation?

Answer 5

yes the one I have marked as----- 1

Answer 6

That is what I thought. Thank you very much(:

Answer 7

welcome