A line passes through the point 2,9 and has a slop of 5/2

Question

A line passes through the point 2,9 and has a slope of 5/2 Write an equation in slope-intercept form for this line. 

Answer 1

The slope-intercept form reads like this:

 

Y = mX + b            where

m = slope

b  = Y-intercept.

You were given the point (2,9). Since points are always in alphabetical order, we know:

X = 2   , Y = 9

Plug in everything:

9 = 5 * 2 + b                           The 2s will cancel, leaving you with:

      2

9 = 5 + b                                 Get the b alone by subtracting...

-5   -5 

4 = b                                        Plug that in, along with the m...

 

Y = 5 X + 4                               Ta-da!

      2