Question

Identify the slope-intercept form and the graph of the line described by the equation 2x−y=0.

Answer 1

y = 2x

Explanation:

In order to get from standard form to slope-intercept form (y = mx + b), we have to find what we are looking for. Since we want to get slope-intercept form, we want to find y. To find y, we isolate it.

2x - y = 0

Subtract 2x from both sides...

(2x - 2x) - y = (0 - 2x)

Now we have - y = -2x + 0.

But wait, we can't have a negative y... so we simply divide by -1.

(-y/-1) = (-2x/-1) + (0/-1).

Since 0 divided by any number is just zero, we can drop it. Now that y is positive, we have our answer!

Answer 2

Answer: y=2x

Explanation:

Let's solve for y.

Step 1: Add -2x to both sides.

2x−y+−2x=0+−2x

−y=−2x

Step 2: Divide both sides by -1.

-y/-1 = -2x.-1

y=2x

Therefore, the y=mx+b form of this question would be y=2x