Question

Write the slope-intercept form of the equation of the line that goes through the point (-3, -2) and is parallel to y=\frac{1}{3}x-4y=

3
1
​
x−4.

Answer 1

y = 1/3x - 1

Explanation:

Answer 2

• y = 1/3x - 1

Explanation:

Parallel lines have same slope

Given line is

• y = 1/3x - 4

Parallel line will be

• y = 1/3x + b

Get the value of b using the point (-3, -2):

• -2 = 1/3(-3) + b
• -2 = -1 + b
• b = -2 + 1
• b = -1

So the line is

• y = 1/3x - 1