Question

Which equations in point slope form represent this line?

Answer 1

`y+6=2(x+3)`

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

`y-4=2(x-2)`

Step-by-step explanation

The equation in point slope form is given by the formula

`y-y_1=m(x-x_1)`, where
`m` is the slope and the point
`(x_1,y_1)` lies on the line.

We can determine the slope using the formula,

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

We now use the point,
`(1,2)` and
`(2,4)` to dtermine the slope.

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

There the equations in point-slope form is;

`y+6=2(x+3)`

or

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

or

`y-4=2(x-2)`