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:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is the slope which is found using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2[/tex]
Putting the value of slope
[tex]y-y1 = -2(x-x_1)[/tex]
Putting both points to get two forms of point slope form of equation
Putting (1,6):
[tex]y-6 = -2(x-1)[/tex]
Putting (5,-2):
[tex]y+2 = -2(x-5)[/tex]
Looking at the equations and options it can be concluded that
Option 2: y+2=−2(x−5) is the correct answer
