Please help! This is my last question on the homework and it’s taking forever for me to do

There are a few possible answers and they are

y - 40 = 1(x - 0)

y - 50 = 1(x - 10)

y - 60 = 1(x - 20)

Explanation:

Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)

Use the slope formula to find the slope

m = (y2-y1)/(x2-x1)

m = (50-40)/(10-0)

m = 10/10

m = 1

The slope is 1.

Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.

Since your teacher wants the answer in point slope form, we'll use this as our template

y - y1 = m(x - x1)

where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.

If we use (x1,y1) = (0,40), then we get

y - y1 = m(x - x1)

y - 40 = 1(x - 0)

which is one possible answer

If we use (x1,y1) = (10,50), then we get

y - y1 = m(x - x1)

y - 50 = 1(x - 10)

which is another possible answer

If we use (x1,y1) = (20,60), then we get

y - y1 = m(x - x1)

y - 60 = 1(x - 20)

which is another possible answer

So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.

the balance is found at the link

step-by-step explanation: