Let's break down the questions one by one.
Question 1
You need to determine which of the provided coordinate pairs is not a solution to the equation \( y = -\frac{1}{4}x - 3 \).
Let's substitute each x-coordinate from the given pairs into the equation to find the expected y-coordinate:
A. For \( (−8, −1) \): \[ y = -\frac{1}{4}(-8) - 3 = 2 - 3 = -1 \quad \text{(This is a solution)} \] B. For \( (−2, −4) \): \[ y = -\frac{1}{4}(-2) - 3 = \frac{1}{2} - 3 = -\frac{5}{2} \quad \text{(This is not a solution)} \] C. For \( (4, −4) \): \[ y = -\frac{1}{4}(4) - 3 = -1 - 3 = -4 \quad \text{(This is a solution)} \] D. For \( (0, −3) \): \[ y = -\frac{1}{4}(0) - 3 = 0 - 3 = -3 \quad \text{(This is a solution)} \]
Answer for Question 1: B. (−2, −4) is NOT a solution.
Question 2
You need to find the y-coordinate when the x-coordinate is \(-4\).
Substituting \( x = -4 \) into the equation: \[ y = -\frac{1}{4}(-4) - 3 = 1 - 3 = -2 \]
Answer for Question 2: C. −2 is the y-coordinate.
To summarize:
- Question 1: B. (−2, −4)
- Question 2: C. −2