Question

HELP
Find the y=mx+b

Answer 1

y = 7/6x - 2/3

Explanation:

Hi,

To begin, pick two points from the graph. Doesn't matter what you pick as long as they're two different ones. So let's choose...

(4,4) and (-2,-3)

To find y = mx + b, we have to start with the slope (m). To find the slope, we find the change in y over the change in x.

-3 - 4 = -7 (the change in y)

-2 - 4 = -6 (the change in x)

So the slope is -7/-6 which equals 7/6.

Now, we plug that into y = mx + b

y = 7/6x + b

To find the b value, we plug in a point and solve for b.

4 = 7/6 (4) + b

4 = 28/6 + b

Simplify the 28/6 so it's easier to solve...

4 = 14/3 + b

-2/3 = b

So your equation is y = 7/6x - 2/3

I hope this helps :)

Answer 2

y = 7/6x - 0.75

Explanation:

To get the slope, you do rise/run. This means that to get from one point to the other, you would go 7 units up and 6 units to the right. Then the y intercept is where you start on the y-axis, which is -0.75.

Hope this helps!!