Option D:
Equation of a line in point-slope form is y – 2 = 3(x – 5).
Solution:
Given data:
Point on the line = (5, 2)
So, [tex]x_1=5,y _1=2[/tex]
Slope m = 3
To find the equation of the line for the given values in point-slope form:
Let us write point-slope formula.
Point-slope formula:
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
Substitute the given values in the formula, we get
[tex]y-2=3\left(x-5\right)[/tex]
Option D is the correct answer.
Equation of a line in point-slope form is y – 2 = 3(x – 5).
