How do you graph y=7/2x-2?

1 Answer
Steve J.
Apr 3, 2018

See procedure below.

Explanation:

The following procedure will give you the coordinates of 2 data points. As we work them out, put them on your graph paper. Then you can draw a line between them and extend them as far as you like.

Plug in 0 for y and find the value of x that satisfies the equation:

y = 7/2x - 2

If y = 0, then 0 = 7/2x - 2

Now, solve for x.
Add 2 to both sides. Then we have 2 = 7/2*x
Multiply both sides by 2/7.
So 2/7*2 = 2/7*7/2*x
Cancel where possible. 2/7*2 = cancel(2)/cancel(7)*cancel(7)/cancel(2)*x

So we have
x = 4/7
Therefore, you can plot a data point at (4/7,0)

Repeat, except plug in 0 for x. Starting with:

y = 7/2x - 2

If x = 0, then y = 7/2*0 - 2

That simplifies to y = - 2

Therefore you can plot a second point at (0,-2). Those are the 2 points that cross the x-y axes. Draw the line.

I hope this helps,
Steve

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