SOLUTION: Given the graph below, how do I determin the rise, run, & slope? Also, how do I determine the equation so I can write it in standard form? {{{graph (600,600,-10,10,-10,10,(1/4

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Question 274059: Given the graph below, how do I determin the rise, run, & slope? Also, how do I determine the equation so I can write it in standard form?


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I decide to put the equation in the form
where is the slope
and is the y-intercept
---------------------------------
First, I look at where the line crosses
the y-axis. It's at the point (0,2)
Plugging this into the general formula,


This is the y-intercept
-----------------------
The easiest way to read off the slope is
from x-intercept to y-intercept or
from y-intercept to x-intercept
---------------------------------
Slope is change in y over change in x
Say I start at the x-intercept which is
at (-8,0) and I end at (0,2), the y-intercept
slope is
which is
-------------------------------------------
Say I go in the other direction:
(0,2) to (-8,0)
The slope is
I get the same answer as I should.
So, setting , the equation is
Then put it in standard form

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