Answer:
y=2.5x
Step-by-step explanation:
To get the equation in y = mx + b format, we need to find m and b, the slope and y-intercept.
To find the slope, we need two points on a graph, which we have.
First, the slope
The formula for slope is
![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Our points, (6, 15) and (2, 5)
Plugging into our equation:
, which is 10 divided by 4, which is 2.5
Our equation now:
![y=2.5x+b](https://tex.z-dn.net/?f=y%3D2.5x%2Bb)
To find our b, we need to plug in one x value.
(6, 15) are our pair of points.
6 = x
15 = y
=>
=>
![b = 0](https://tex.z-dn.net/?f=b%20%3D%200)
If b is 0, then we don't need to include b.
Our equation is ![y=2.5x](https://tex.z-dn.net/?f=y%3D2.5x)