The slope of a line through the point (0,0) is 2. What point is also on the line?

Question

I don't know how to solve this. My teacher didn't go over this.

Answer 1

The line is going through the point of origin, so setting up the linear equation is easy.

y = mx + b

We are told that our slope is 2, so that goes into m:

y = 2x + b

The point we are given is (0, 0), so we're told what our y-intercept point is--it's at 0:

0 = 2*0 + b

0 = 0 + b

0 = b

 

So our graph equation looks like:

y = 2x

The question is asking you to find another point on this line. So if you put in a value for x, what do you get for y? (Such as if you put 3 into x, what do you get for y?)

 

Remember, it's asking you to put it as a point, so your final answer is going to look like (<x-value>, <y-value>)