Question

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

Answer 1

the y-intercept

is the point (0,4)

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)