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What is the equation of the line graphed?

What is the equation of the line graphed?
A y = 3x
B y = 3x – 2
C y = -3x – 2
D y = -3x + 2




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1 Answer

  1. To determine the equation of the line graphed, we need to identify its slope and y-intercept.

    1. If the line goes up as it moves from left to right, it has a positive slope; if it goes down, it has a negative slope.
    2. Check where the line crosses the y-axis; this will help identify the y-intercept, which is the value of y when x = 0.

    If the graph shows a line with a positive slope of 3 and crosses the y-axis at 0, the correct equation would be:

    A y = 3x

    If it crosses the y-axis at -2, then it would be:

    B y = 3x – 2

    If it has a negative slope of -3 and does not cross through y = 0 or goes down, the slopes would correspond to either C or D depending on the intercept.

    Make sure to look closely at the slope and y-intercept on the graph to find the right answer. If you need more detailed help, feel free to check the extended services page!

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