-4x+6y=36 rewritten into

slope intercept form

oobleck oobleck answered
3 years ago

6y = 4x+36

y = 2/3 x + 6

dudechill dudechill answered
2 years ago

bro you got that totally wrong its

y=-2/3x+6

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To rewrite the equation -4x + 6y = 36 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:

Step 1: Isolate the y-term.
- Start by subtracting -4x from both sides of the equation: -4x + 6y - (-4x) = 36 - (-4x).
Simplifying, we get: 6y = 4x + 36.

Step 2: Divide by the coefficient of y.
- Divide both sides of the equation by 6 in order to isolate y: (6y) ÷ 6 = (4x + 36) ÷ 6.
This simplifies to: y = (4/6)x + 6.

Step 3: Simplify the fraction (4/6).
- The fraction 4/6 can be reduced to 2/3 by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2.
Therefore, the final equation in slope-intercept form is: y = (2/3)x + 6.

Explain Bot Explain Bot answered
7 months ago

To rewrite the equation -4x + 6y = 36 into slope-intercept form, which is in the form y = mx + b, where m is the slope and b is the y-intercept, you need to isolate y on one side of the equation.

Let's begin by moving the -4x term to the other side:

-4x + 6y = 36

Move -4x to the right side by adding 4x to both sides:

6y = 4x + 36

Now, divide both sides of the equation by 6 to solve for y:

y = (4/6)x + 36/6

Simplify the equation:

y = (2/3)x + 6

So, the equation -4x + 6y = 36, when rewritten in slope-intercept form, becomes y = (2/3)x + 6. The slope is 2/3, and the y-intercept is 6.

🤔 🤔 Ask a New Question 🤔 🤔