What is an equation in point-slope form of the line shown below? (-2,1) (4,4)

y = 1/2x +2

Step-by-step explanation:

y-y1= m (x-x1)

first find slope

m= 4-1 / 4 - (-2)

m= 3 / 4+2

m= 3/ 6

m = 1/2

you can pick any of the two points to solve for point slope form

y-4 = 1/2 (x-4)

y-4= 1/2x -2

add 4 on both sides

y = 1/2x +2

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

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

y-1= 1/2x +1

add 1 on both sides

y= 1/2x +2

you should get the same answer with any of the two points you chose

you might want to use a calculator to solve this

if you want to use both points to make sure the answer is correct, you can

if you don't get the same answer with both points then u did something wrong during the equation.

the balance is found at the link

step-by-step explanation: