Question

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

Point: (–2, 4); Slope: 5

A. y + 4 = 5x – 10
B. y + 4 = 5(x + 2)
C. y – 4 = 5(x + 2)
D.y – 4 = 5(x – 2)

Answer 1

The answer to your question is the letter C.

Explanation:

Data

P (-2 , 4)

m = 5

Process

1.- Write the equation of the line

y - y1 = m(x - x1)

x1 = - 2 y1 = 4

2.- Substitution

y - 4 = 5(x + 2)

3.- Simplification

y - 4 = 5x + 10

- Solve for y

y = 5x + 10 + 4

y = 5x + 14 This is the equation of the line in the point-slope form.