Question

Which is an equation in point-slope form for the given point and slope?

Point: (7, 4); Slope: 6

A. y – 4 = 6(x + 7)
B. y + 4 = 6(x – 7)
C. y – 7 = 6(x + 4)
D. y – 4 = 6(x – 7)

Answer 1

The answer to your question is the letter D. (step 2)

Explanation:

Data

P (7, 4) slope = 6

Process

1.- Write the equation of the line

y - y1 = m(x - x1)

x1 = 7 y1 = 4

2.- Substitution

y - 4 = 6(x - 7)

- Simplification

y - 4 = 6x - 42

- Solve for y

y = 6x - 42 + 4

y = 6x - 38 This is the equation in the point-slope form

3.- According to the choices the answer is letter D.