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Need Help Solving Linear Function?

I am working on an assignment for an online intermediate algebra class. This module is on the rectangular coordinate system, which I know fairly well. However, this one question has me stumped.

Here is the question:

Graph the linear function by plotting the x- and y-intercepts.

-3y = -3x

I've done the x/y intercepts on other questions with no problem, but this one has me confused and there are no similar examples in our lecture or other problems. So far I've tried this;

-3(0) = -3x then solve for x so x = 0/-3 = 0

-3y = -3(0) then solve for y so y = 0/-3 = 0

The answer is multiple choice and has four graphs with (0,0) as the only plot but different slopes. I'm 99.9% certain the slope is irrelevant here.

Have I done this correctly, or did I make a mistake along the way?

Thanks in advance,

1 Answer

Relevance
  • 7 years ago

    -3y = -3x

    y = -3x/-3

    y = x

    y-intercept, set x = 0

    y = 0 (0, 0)

    x-intercept, set y = 0

    x = 0 (0 ,0)

    Both intercepts are 0, slope = 1

    Since the y and x intercepts are the same, slope is vital to graphing.

    - .--

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