Question

What equation models the line? I need help pretty fast.

Answer 1

Answer: y= 21x

Step-by-step explanation:

As you can see, the line is steadily increasing. To make an equation for the line, we need to use the formula y=mx+b.

Step 1: Find the slope, "m"

m is the slope of the line, calculated by finding 2 points on the line, and using the formula rise÷run.

To do this, find a point on the line. (Make sure it's an actual point, not one that is in between the lines). In this example I will use 0,0. Then, find the nearest (actual) point on the line. That will be 1,21.

Now, we will use rise/run.

To get from the 2 points I listed, we must rise, or go up, 21. Then, we must "run", or go left or right 1. In this case we go left.

Therefore, the "rise"= 21, and the "run"= 1. Now 21÷1= 21, so the slope is 21.

Step 2: Find the y-intercept, "b"

b is the y intercept of the line, whch is the first point on the y axis that the line is on. In this line, the y intercept is 0.

Step 3: Write the equation

Now that we know what "m" and "b" stand for, we can replace these letters with the numbers by plugging in.

y=mx+b

y= 21x+0

y= 21x

*Note that when the y intercept ("b") is 0, you don't write it in the equation, but if it were a number other than 0, you would.

Hope this helps :)