Question

What is the equation in point slope form of a line that passes through the points (-8,2) and had a slope of 1/2

Answer 1

First you have to plug in your information into the formula- y=mx+b
So we know the y is 2, the slope (m) is 1/2, the x is 2 and we don't know the b. Do plug it in the formula and solve... you should get 2=1/2(2)+b you will end up with 1=b and the final answer is y=1/2x+1

Answer 2

`y-2=(1)/(2)(x+8)`

Explanation:

It a line passes through the point
`(x_1,y_1)` with slope m, then the point slope form of the line is

`(y-y_1)=m(x-x_1)` ....(i)

It is given that line passes through the point (-8,2) and had a slope of 1/2.

We neeed to find the equation in point slope form of the line.

Substitute
`x_1=-8,y_1=2\text{ and }m=(1)/(2)` in equation (i).

`(y-(2))=(1)/(2)(x-(-8))`

`y-2=(1)/(2)(x+8)`

Therefore, the point slope form of the line is
`y-2=(1)/(2)(x+8)`.