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

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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

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