SOLUTION: Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line; -x + 2y = 4

Question 229568: Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line;
-x + 2y = 4
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line;

Step 1. Intercepts means that the intersect the x or y axis. This means that one of the coordinates is zero. So for x=0, then the point (0,b) has b a the y-intercepts. and for y=0, then the point (a,0) has a as the x-intercept.

Step 2. Then for x=0 in equation we have

Divide by 2 to both sides of the equation

So we have (0,2) as one point with b=-7 as the y-intercept.

Step 3. Then for y=0 in equation we have

or

So we have (4, 0) as one point with a=4 as the x-intercept.

Step 4. ANSWER: So we have (0,2) as one point with b=2 as the y-intercept and we have (4,0) as one point with a=4 as the x-intercept.

We can use these two points (0,2) and (4,0) to plot 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.

Good luck in your studies!

Respectfully,
Dr J

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