Answer:
C
Step-by-step 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:
[tex] - 2y = 12 - 3x[/tex]
Divide by -2 throughout so coefficient of y is 1:
[tex]y = \frac{12}{ - 2} -( \frac{3x}{ - 2} ) \\ y = - 6 + \frac{3}{2} x \\ y = \frac{3}{2} x - 6[/tex]
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.
