Question

Graphs of Linear Equations 3





Question 1
The graph represents y = - 1/4x - 3









. Which coordinate pair is NOT a solution for the equation?
Responses
A (−8, −1)(−8, −1)
B (−2, −4)(−2, −4)
C (4, −4)(4, −4)
D (0, −3)(0, −3)
Question 2
Suppose −4 is the x-coordinate for a solution to the equation. What is the y-coordinate?
Responses
A −4−4
B −1−1
C −2−2
D 4

Answer 1

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**