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

Answer-

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

Solution-

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

The slope of the line joining these two points is,

$=\dfrac{y_2-y_1}{x_2-x_1}$

Here,

x₁ = 5

y₁ = 6

x₂ = 3

y₂ = 2

Putting the values,

$=\dfrac{2-6}{3-5}$

$=\dfrac{-4}{-2}$

$=2$

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 $y-6=2(x-5)$