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What are the first two steps to graph y=4/5x + 3?

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The function y=4/5x + 3 represents a linear equation.

Let's find some points.

Where x=1, then:


y=(4)/(5)x+3
y=(4)/(5)(1)+3
y=(19)/(5)

We find the point (1,19/5).

Where 19/5 = 3.8

Now, lest find the x-intercept and y-intercept.

To find the x-intercept, set y=0


0=(4)/(5)x+3

Solve for x:


-3=(4)/(5)x
5\cdot-3=4x
-15=4x

where


x=-(15)/(4)=-3.75

So, the x-intercept is the point (-15/4, 0)

To find the y-intercept, set x=0. Then:


y=(4)/(5)x+3
y=(4)/(5)(0)+3
y=3

So, the y-intercept is the point (0,3)

Use this information to graph the line.

Hence, the graph for y=4/5x + 3 is given by:

What are the first two steps to graph y=4/5x + 3?-example-1
User Robert Rose
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