Question

Which equation is a point slope form equation for line AB ?

Answer 1

The slope is 2 and a point on the line is (3,2) just plug it into y-y1=m(x-x1)
The answer woul be y-2=2(x-3)

Answer 2

`\boxed{\boxed{y-6=2(x-5)}}`

Solution-

The two points on the line are (5, 6), (3, 2)

The slope of the line joining these two points is,

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

Here,

x₁ = 5

y₁ = 6

x₂ = 3

y₂ = 2

Putting the values,

`=(2-6)/(3-5)`

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

`=2`

The general point-slope formula is,

`\Rightarrow y-y_1=m(x-x_1)`

m = slope = 2

x₁ = 5 and y₁ = 6

So,

`\Rightarrow y-6=2(x-5)`

Therefore, the point slope form equation for line AB is
`y-6=2(x-5)`