Find the slope and y intercept for the following function: 3x+2y=6

Question

Please help

Answer 1

Hello, thank you for taking the time to post your question!

To find the slope and y-intercept for the function 3x+2y=6, you need to convert the equation to the slope-intercept form, which is y=mx+b.

Solving that algebraically for the value of "y" yields:

3x+2y=6

2y=−3x+6

y=−3/2x+3

From this equation, you can see that:

1. The slope is the coefficient of x, so m=−3/2.
2. The y-intercept is the constant term, so b=3.

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

The find the slope, we put the given equatin in the form   y=mx+b , where m is slope and b is y-intercept.

 

 

Solve for y from the equation.

 

2y = -3x + 6

 

  y = (-3/2)x + 3

 

 

The slope is -3/2.

 

 

To find the y-intercept, set x=0.  The y-intercept is (0, b).  When x=0, y=b.

 

The y-intercept is (0, 3).