What is the slope intercept form of the line passing through (4,-2) with a slope of -1/3?

Lucille Li

Lucille Li

Answered question

2023-02-13

What is the slope intercept form of the line passing through ( 4 , - 2 ) with a slope of - 1 3 ?

Answer & Explanation

Rex Coffey

Rex Coffey

Beginner2023-02-14Added 4 answers

The slope intercept form is
y = m x + b
Where m is the slope and b is the y intercept
So you what m is because you are given the slope
m = - 1 3
Then consider that in the equation.
y = - 1 3 x + b
Now substitute the point you were given (4,-2)
- 2 = - 1 3 ( 4 ) + b
Solve for b
- 2 = - 4 3 + b
- 2 + 4 3 = b
b = - 6 3 + 4 3
b = - 2 3
Add the b to the formula now.
y = - 1 3 x - 2 3

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