Answer:
slope: 5
y-intercept: 0
Equation: ![y=5x](https://tex.z-dn.net/?f=y%3D5x)
Step-by-step explanation:
First, lets find the slope.
Every time we have an increase in
, we have an increase in
.
To find that change, we will divide the changes in
using two points.
I will be using the points ![(1,5), (2,10)](https://tex.z-dn.net/?f=%281%2C5%29%2C%20%282%2C10%29)
![\frac{10-5}{2-1}](https://tex.z-dn.net/?f=%5Cfrac%7B10-5%7D%7B2-1%7D)
![=5/1](https://tex.z-dn.net/?f=%3D5%2F1)
![=5](https://tex.z-dn.net/?f=%3D5)
Therefore, the slope is 5.
Next, lets find the y-intercept. The y-intercept is where the line goes through the y-axis.
We can go back 1 x-value (since when x = 1, y = 5)
Subtracting our slope (5) from the y-value for 1, we get:
![y=0](https://tex.z-dn.net/?f=y%3D0)
Therefore, the y-intercept is 0.
Finally, lets find the equation.
Linear equations are in the form
, where m is the slope and b is the y-intercept.
Plugging those values in we get: ![y=5x+0](https://tex.z-dn.net/?f=y%3D5x%2B0)
Which will be simplified down to ![y=5x](https://tex.z-dn.net/?f=y%3D5x)
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