Question #37c70

1 Answer
Apr 24, 2017

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