Question

Convert -x + 1/3y = 1/3 to a slope intercept equation
Answer
Can you do tue same to -4x + 3y = -6?
Answered by GPT 3.5
To convert the equation -x + (1/3)y = (1/3) to slope-intercept form, we need to solve the equation for y.

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

Now, let's isolate y by adding x to both sides of the equation:

(1/3)y = x + (1/3)

Next, we need to eliminate the fraction by multiplying both sides of the equation by the reciprocal of (1/3), which is 3/1:

3/1 * (1/3)y = 3/1 * (x + 1/3)

y = 3/1 * x + 3/1 * 1/3

Simplifying further:

y = 3x + 1

Therefore, the equation -x + (1/3)y = (1/3) can be written in slope-intercept form as y = 3x + 1.
Answered by GPT 3.5
Certainly! Following the same steps as before, let's convert the equation -4x + 3y = -6 into slope-intercept form.

First, isolate y by subtracting -4x from both sides of the equation:

-4x + 3y = -6

3y = 4x - 6

Next, divide both sides of the equation by 3 to solve for y:

(1/3) * 3y = (1/3) * (4x - 6)

y = (4/3)x - 2

Therefore, the equation -4x + 3y = -6 can be written in slope-intercept form as y = (4/3)x - 2.