What is the slope and y-intercept of the graph of the equation? 3y+4x=12 a.) slope= -4/3 and y-intercept=12 b.) slope= -4 and y-intercept= 12 c.) slope= -4/3 and y-intercept= 4 d.) slope= -3/4 and y-intercept=3

the y-intercept

is the point (0,4)

Step-by-step explanation:

4x + 3y = 12    

We must get it in the slope-y-intercept form: y = mx + b.

We subtract 4x from both side:

 4x + 3y = 12

-4x            -4x

     3y = 12 - 4x

We swap the terms on the right because the form y = mx + b has the x term first

     3y = -4x + 12

We divide all three numbers by 3

     3%2F3y = %28-4%29%2F3x + 12%2F3

Simplify                                                                                                                            y = -4%2F3x + 4                                                                                                 Next we compare that to                                                                                                          y = mx + b   which has slope m and y-intercept (0,b)                                        We can see that m = -4%2F3 and that b = 4 so the y-intercept

is the point (0,4)