Find the equation of a line with the properties given. Write the equation in the form indicated.
-Through (5, 4) and parallel to the line whose equation is y = - 13 x + 5; function notation
D) f(x) = - 3x - 17

Question

Quizplus · Accepted Answer

Since the line is parallel to the given line, it will have the same slope of -13. Using the point-slope form of the equation, we have:

y - 4 = -13(x - 5)

Simplifying and writing in function notation, we get:

f(x) = -13x + 69 Since the given line is parallel to the line y = -13x + 5, the slope of the required line is also -13. 
Using the point-slope form of the equation of a line, the equation of the required line is: 
y - 4 = -13(x - 5) 
Expanding and simplifying, we get: 
y = -13x + 69 
Writing in function notation, we get: 
f(x) = -13x + 69

Find the Equation of a Line with the Properties Given