Question

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

Answer 1

Answer:

Option 2: y+2=−2(x−5) is the correct answer.

Step-by-step explanation:

We can see two points on the line A and B.

Their coordinates are:

A = (x1,y1) = (1,6)

B = (x2,y2) = (5,-2)

The point slope form is given as:

$y-y_1 = m(x-x_1)$

Here m is the slope which is found using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Putting the values

$m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2$

Putting the value of slope

$y-y1 = -2(x-x_1)$

Putting both points to get two forms of point slope form of equation

Putting (1,6):

$y-6 = -2(x-1)$

Putting (5,-2):

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

Looking at the equations and options it can be concluded that

Option 2: y+2=−2(x−5) is the correct answer