SOLUTION: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. -x - y = -2

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Question 121234: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. -x - y = -2
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First convert the standard equation into slope intercept form

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


Start with the given equation


Add 1x to both sides


Simplify


Divide both sides by -1 to isolate y


Break up the fraction on the right hand side


Reduce and simplify


The original equation (standard form) is equivalent to (slope-intercept form)


The equation is in the form where is the slope and is the y intercept.








Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is


Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means


Also, because the slope is , this means:




which shows us that the rise is -1 and the run is 1. This means that to go from point to point, we can go down 1 and over 1



So starting at , go down 1 unit


and to the right 1 unit to get to the next point



Now draw a line through these points to graph

So this is the graph of through the points and
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