Complete the point slope equation of the line through (1,-1) and (5,2)

The first thing we need to do is calculate the slope.

To calculate slope, we plug our numbers into the following general formula:

So

So, our slope is 3/4.  

Now we pick whatever point we want to work with.  For this situation, i'm going to pick the second, since it is positive numbers.

Now, we plug our numbers into the point-slope form equation.  The general formula is

M is our slope,

Y₁ is our Y-coordinate and X₁ is our X-coordinate.

So, when we plug our numbers in we get

The equation would be y - (-1) = 1/2(x - 1)

Step-by-step explanation:

In order to find the equation of this line, we have to use the slope formula to find the slope.

m (slope) = (y2 - y1)/(x2 - x1)

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

m = (2 + 1)/(5 + 1)

m = 3/6

m = 1/2

Now that we have that, we can use it along with the second point to put into the point-slope equation.

y - y1 = m(x - x1)

y - (-1) = 1/2(x - 1)

slope  = (y2-y1)/(x2-x1)

      =  (2--1)/(5-1)

      = (2+1)/(4)

       =3/4

The point slope from of a line is

y-y1 = m(x-x1)

y--1 = 3/4 (x-1)

y+1 = 3/4 (x-1)

(y-2) = 0.75(x-5)

Step-by-step explanation:

(y-2) = 0.75(x-5)

Step-by-step explanation:

y-y₁=m(x-x₁)

y = 0.75x - 1.75

Step-by-step explanation:

To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run

So, m = (-1 - 2) / (1 - 5)

m = 0.75

Now we have y = 0.75x +b

We can plug in x and y values to find b

2 = 0.75(5) +b

b = -1.75

Therefore,

y = 0.75x - 1.75

y = 0.75x - 1.75

Step-by-step explanation:

To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run

So, m = (-1 - 2) / (1 - 5)

m = 0.75

Now we have y = 0.75x +b

We can plug in x and y values to find b

2 = 0.75(5) +b

b = -1.75

Therefore,

y = 0.75x - 1.75