Answer:
y=5x
Explanation:
So we have the points (0,0) and (2,10) that are on the line.
The slope can be calculate the slope by finding the rise and the run, and then putting the rise/run.
If you want to use the graph to count the rise, you can. If you start at 0 and need to get to 10, then you need to rise 10 units.
If you want to use the graph to count the run, you can. If you start at 0 and need to get to 2, then you need to run 2 units.
So the slope is 10/2=5.
Or, if you didn't want to count, you could use the slope formula for a line given two points on that line.
That is the formula is
.
There is another format for that formula that might be easier to remember. Just line the points up and subtract vertically. Then put 2nd difference over 1st difference.
So let's do that also:
( 2 , 10)
-( 0 , 0)
----------------
2 10
So the slope is 10/2=5.
Now you can get the same answer if you had done it the other way:
( 0 , 0)
- ( 2 , 10)
----------------
-2 -10
So the slope is -10/-2=5.
You get the same number either way.
So the slope-intercept form of a line is y=mx+b.
m is the slope and b is the y-intercept.
We found m which is 5.
If you look at the graph, you see the line goes through the y-axis at y=0 so the y-intercept, b, is 0.
The equation of the line here is y=5x+0 or just simply y=5x.