13. Which graph matches the linear equation: 6x+y=−4

(1 point)
Responses
(0,2) (1,-1)
(3,0) (0,-2)
(0,-4) (1,-10)
(1,2) (0,-4)

1 answer

To find which graph matches the linear equation 6x + y = -4, we can plug in the coordinates from each graph into the equation and see which one satisfies it.

Let's check each option:

(0,2):
6(0) + 2 = 0 + 2 = 2 ≠ -4
This option does not satisfy the equation.

(1,-1):
6(1) + (-1) = 6 - 1 = 5 ≠ -4
This option does not satisfy the equation.

(3,0):
6(3) + 0 = 18 + 0 = 18 ≠ -4
This option does not satisfy the equation.

(0,-2):
6(0) + (-2) = 0 - 2 = -2 ≠ -4
This option does not satisfy the equation.

(0,-4):
6(0) + (-4) = 0 - 4 = -4
This option satisfies the equation because the left side equals the right side.

(1,2):
6(1) + 2 = 6 + 2 = 8 ≠ -4
This option does not satisfy the equation.

The only option that satisfies the equation is (0,-4), so the graph that matches the linear equation 6x + y = -4 is the one with the coordinates (0,-4).