Question 225320: How do I solve and graph for x intercept and y intercept the following equation: y = -x ? Thanks!!
Found 2 solutions by drj, LtAurora:
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! How do I solve and graph for x intercept and y intercept the following equation: y = -x ? Thanks!!
Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).
Step 2. Comparing  with  we have the slope m=-1 and b=0.
Step 3. To graph to get the y-intercept we set x=0 and in this case y=b=0.
Step 4. To get the x-intercept we set y=0 and again in this case x=0. So we have (0,0) as a point. Since the x-intercept and y-intercept are the same then we need another point. Say at x=1 then y=-1 so (1,-1) is a point on the line. We can use these two points (0,0) and (1,-1) to plot the line.
Step 5. Another way to graph: With the slope m=-1 then for every unit you go to the right you go one unit down. You get the same result (1,-1) or from (1,-1) you get (2,-2) as another point on the line.
Step 6. Here's the graph,
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
Answer by LtAurora(115)  (Show Source):
You can put this solution on YOUR website! To solve for a y-int. plug 0 into x.
There's no such thing as -0, so it's just 0.
So, our y-intercept is (0,0). Coincidentally this is also our x-intercept, because this graph passes through the origin. Whenever the answer is (0,0) it is both the x- and y-intercept.
To graph it, it looks like:
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