How to graph y = 1 3 x - 5 using the slope and intercept?

Question

How to graph       y    =          1      3        x    -    5   using the slope and intercept?

Genesis Hancock · Accepted Answer

Since you can read the process directly from the equation, the slope-intercept form of the equation is the simplest to graph.
First you need a place to start
The equation gives you one point that is automatically on the line. That point is the y intercept, the value at b.
So to start, put the tip of the pencil on the y intercept.
In this case, that is

(0,

-

5)

Now you count out the steps for the slope.
The slope is always a fraction.
Sometimes the value for slope doesn't even really look like a fraction.
The slope might be a whole number whose denominator is

1

, which may not even be written because it is understood.
But in this case, the slope is obviously the fraction

\frac{1}{3}

Slope is described as ""rise over run""
⁕ The numerator is how high you rise up the y axis.
⁕ The denominator is how far you run along the x axis.
1) So in this case, starting at

(0, - 5)

, rise one step up the

y

axis.
Now you are at

(0, - 4)

2) From there, run along

3

steps parallel to the

x

axis
Now you are at

(3, - 4)

3) Draw a small dot at this new point.
4) Draw a line through the

y

intercept and this new point
graph{y = 1/3x - 5 [-7.67, 12.33, -8.6, 1.4]}

How to graph y=1/3x-5 using the slope and intercept?

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