Question

A line passes through (-2,5) and has a slope of 1/3

. What is the equation of the line in point-slope form?
A. y+2 = } (x - 5)
B. y - 5 = } (x+2)
C. y = 17 3x + 17
D. y +5= } (x - 2)

Answer 1

The answer to your question is y - 5 = 1/3(x + 2)

Explanation:

Data

Point = (-2, 5)

slope = m = 1/3

Process

1.- Identify the values of x1 and y1

x1 = -2 y1 = 5

2.- Write the equation of the line in the slope point form

y - y1 = m(x - x1)

3.- Substitution

y - 5 = 1/3(x + 2)

4.- Simplification

y - 5 = 1/3x + 2/3

y = 1/3x + 2/3 + 5

y = 1/3x 17/3