Complete the table for the equation 3x−4y=12​, and graph the equation.

Question

Question content area bottom left
Part 1
x
y
0
negative 3−3
Part 2
44
0
Part 3
−4
negative 6−6
Part 4
enter your response here
3

Answer 1

To find the corresponding values of y for each given value of x, we can rearrange the equation 3x - 4y = 12 to solve for y:

3x - 4y = 12
-4y = -3x + 12
y = (-3x + 12) / -4
y = (3/4)x - 3

Now we can plug in the given values of x to find the corresponding values of y:

Part 1:
x = 0
y = (3/4)(0) - 3
y = -3
So, the table entry for Part 1 is: (0, -3)

Part 2:
x = 44
y = (3/4)(44) - 3
y = 33 - 3
y = 30
So, the table entry for Part 2 is: (44, 30)

Part 3:
x = -4
y = (3/4)(-4) - 3
y = -3 - 3
y = -6
So, the table entry for Part 3 is: (-4, -6)

Part 4:
x = 3
y = (3/4)(3) - 3
y = 9/4 - 3
y = 9/4 - 12/4
y = -3/4
So, the table entry for Part 4 is: (3, -3/4)

Now we can plot these points on a graph and draw the line connecting them to represent the given equation. The x-axis and y-axis should be labeled appropriately.