Graph the linear equation y = -6x - 4.

Question

A. (1, -10), (0, -4)
B. (0, -4), (1, 2)
C. (0, -2), (3, 0)
D. (1, -1), (0, 2)

Answer 1

To graph the linear equation \( y = -6x - 4 \), we can find two points that lie on this line.

1. Find the y-intercept: Set \( x = 0 \): \[ y = -6(0) - 4 = -4 \] So, one point is \( (0, -4) \).

2. Find another point: Set \( x = 1 \): \[ y = -6(1) - 4 = -6 - 4 = -10 \] So, another point is \( (1, -10) \).

Now we have two points: \( (0, -4) \) and \( (1, -10) \).

Looking at the options given:

• Option A includes the points \( (1, -10) \) and \( (0, -4) \).
• The other options do not include these points.

Thus, the correct choice is: A. (1, -10), (0, -4).