Question

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

Answer 1

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:

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:

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

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

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I hope that this was helpful.

Answer 2

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)