Question
Mathematics
Math
Graph the line with the equation $y=3x-3$y=3x-3.
Solve problem with AI
To graph the line with the equation $y=3x-3$y=3x-3, we can use the slope-intercept form of a line where the equation is written as $y=mx+b$y=mx+b, where $m$m is the slope, and $b$b is the y-intercept.
In this case, the slope $m=3$m=3 and the y-intercept $b=-3$b=-3, so we can start by plotting the point $\left(0,-3\right)$(0,-3) on the y-axis:
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. (0,-3)
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Then, from that point, we can use the slope of 3 to find another point. This means that for every 1 unit we move to the right, we move up by 3 units. So from the point $\left(0,-3\right)$(0,-3), we can move right 1 unit and up 3 units to get the point $\left(1,0\right)$(1,0):
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. (1,0)
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We can continue this pattern by moving right 1 unit and up 3 units from the point $\left(1,0\right)$(1,0) to get the point $\left(2,3\right)$(2,3):
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. (2,3)
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We can also move left 1 unit and down 3 units from the point $\left(0,-3\right)$(0,-3) to get the point $\left(-1,-6\right)$(-1,-6):
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. (-1,-6)
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We can continue this pattern as far as we want on both sides of the y-axis:
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. (-2,-9)
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. (0,-3) ---------------------
. (2,3)
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. (1,0)
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Finally, we can connect the points with a straight line to get the graph of the line $y=3x-3$y=3x-3:
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.
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|\\
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\\
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\\
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.*-------------
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\\
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\\

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