Question

What are the slope and y-intercept of the line 3x-2y=12​

Answer 1

C

Explanation:

To find the slope and the y-intercept, rewrite the given equation into the form of y= mx +b. This means that the equation have to be written in such a way that the coefficient (the number before a variable, which is y in this case) of y is 1, and that all the other terms are on the right hand side of the equation.

3x -2y =12

Bring the x terms over to the right hand side of the equation:

`- 2y = 12 - 3x`

Divide by -2 throughout so coefficient of y is 1:

`y = (12)/( - 2) -( (3x)/( - 2) ) \\ y = - 6 + (3)/(2) x \\ y = (3)/(2) x - 6`

After the equation is in the form of y= mx +b, identify the coefficient of x and the constant. The coefficient of x is the slope and the constant (number that is not attached to any variable) is the y-intercept.

Thus, slope is 3/2 and the y-intercept is -6.