
Averi B.
asked 12/10/19The graph of wine G shown below which equation describes a line parallel to ling that has a Y intercept at (0,-1)
1 Expert Answer
Hi Averi.
Jesse D. is correct there is insufficient information. Specifically, the slope of the line "below".
I'll do my best to outline how to find the answer assuming we had the slope, but you are going to have to plug it in here on your own since we don't have all the info needed. Let's get started.
In flat Euclidean planes, parallel lines have the same slope. Lets call slope "m". Since we want a parallel line, the "m" will be the same on both lines. We have the option of using point-slope form or slope-intercept.
Most schools will prefer point-slope which is y=mx+b. "m" is slope as noted above. You can find it on your line knowing that m=(y2-y1)/(x2-x1), or m=rise/run. Lot's of great advice on finding slope but will assume you already have it for this question. Y and x are constants. B represents the Y-intercept (actually the vertex vertical offset but it's commonly called the Y-intercept for simple equations). They gave you the point (0,-1). The Y-intercept is when x=0, the value of Y. In this case, -1.
So we have our "b" or "y-intercept". Y=mx+b, plugging in our variables, y=mx-1. Just throw in your own "m" and you are done!
The point slope form can be very useful as well when questions give you points. I'll leave that for another day though but hope this was helpful! If you include the graph provided in a new question I'm sure someone will see it and get back to you as soon as possible.
Best of Luck,
Michael
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Jesse D.
12/10/19