How do you graph y=3x+5 using slope intercept form?

2 Answers
Nov 5, 2014

Let us sketch the graph of y=3x+5.

Step 1: Since the y-intercept is 5, plot the point (0,5), which looks like:

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Step 2: Since the slope is 3, move 1 unit to the right and 3 units down, so plot the point (1,2), which looks like:

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Step 3: Connect those points by a straight line, which looks like:

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The line in green above is the graph of y=3x+5.


I hope that this was helpful.

Nov 5, 2014

The straight line equation written in slope intercept form is y=mx+b, in which m is the slope, and b is the y-intercept.

The equation y=3x+5 is in slope intercept form, and represents a straight line in which -3 is the slope, and 5 is the y-intercept. In order to determine ordered pairs that can be graphed, substitute any number for x and solve for y.

If x = 0, y = 5: Ordered pair = (0, 5)
If x = 1, y = 2: Ordered pair = (1, 2)
If x = 2, y = -1: Ordered pair = (2, -1)
If x = 3, y = -3: Ordered pair = (3, -3)