Question

Please help quickly

Answer 1

y=4x

Explanation:

You are given 3 points that are on this line. (0,0) which is the origin, (2,8) and (12,48)

Find the slope with (2,8) and (12,48)

Remember the slope formula:

(y2-y1) / (x2 - x1)

So:

(48 - 8) / (12 - 2)

40/10 = 4

And the y- intercept is 0 because the line goes through the origin.

So the equation is:

y=4x

Hope this helps!!

Answer 2

y=4x

Explanation:

First, find the slope

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

We know 2 points, (2,8) and (12,48).

(2,8) can be (x1, y1)

(12,48) can be (x2, y2)

We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in

`m=(48-8)/(12-2)`

`m=(40)/(10)`

m=4

Now, we can use the point slope formula, since we have a point and the slope

`y-y_(1) =m(x-x_(1))`

We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in

y-8=4(x-2)

Distribute the 4

y-8=4*x-2*4

y-8=4x-8

Add 8 to both sides

y=4x