Question

Question #37c70

Answer 1

`y=2x+1`

Explanation:

Don't worry.
This is easy to understand once you have the formulas.

We know the equation of a line is `y=mx+b`
Where `m` is the slope and `b` is the y-intercept

First, we need to find the slope.
The formula for finding the slope is `m=(y_2-y_1)/(x_2-x_1)`

Our points are `(2,5) and (0,1)`

`y_1=5` because it is your first point on `y` from `(2,5)`
`y_2=1` because it is your second point on `y` from `(0,1)`
`x_1=2` because it is your first point on `x` from `(2,5)`
`x_2=0` because it is your second point on `x` from `(0,1)`

Now lets put it into the formula

`m=(y_2-y_1)/(x_2-x_1)`

`m=(1-5)/(0-2)`

`m=(-4)/(-2)`

`m=2`

Now we take any one of our points and put it into our equation of a line

`y=mx+b`
[I am going to use our point (2,5) for `x` and `y`]
[Remember `m=2`]

`y=2x+b`

`5=(2)(2)+b`

`5=4+b` [Switch this around for clarity]

`b+4=5`

`b=5-4`

`b=1`

So we have our slope `m=2` and our y-intercept `b=1`
Now we just put it into our formula again to get the equation of the line passing through our points.

`y=mx+b`

`y=2x+1`