SOLUTION: Hello, I'm having trouble with this homework question on a worksheet that our professor gave us. Write an equation for each line. Express it in the standard form of Ax+By=C.

Algebra ->  Linear-equations -> SOLUTION: Hello, I'm having trouble with this homework question on a worksheet that our professor gave us. Write an equation for each line. Express it in the standard form of Ax+By=C.       Log On


   



Question 167889: Hello,
I'm having trouble with this homework question on a worksheet that our
professor gave us.
Write an equation for each line. Express it in the standard form of Ax+By=C.
Parallel to x + 2 = 0 with x-intercept (-1,0)
Thank you very much.
Joan




Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, recall that if two lines are parallel, then their slopes are equal.
The given equation (x+2 = 0) can be written as: x = -2 and you should recognize this as a vertical line (parallel to the y-axis) with an x-intercept of x = -2.
The slope on a vertical line is, of course, undefined, so that the slope on your line will also be undefined, ie, a vertical line. All vertical lines will have an x-intercept and you are told that the new line will intercept the x-axis at x = -1 because it passes through the point (-1, 0).
So the equation is simply: highlight%28x+=+-1%29
Now this may not appear to be written in the standard form of Ax%2BBy+=+C but it really is because, in your equation, A = 1, B = 0, and C = -1