Question

Jen graphs y = − 1/2 x + 8. Which point is on the line?
Responses
A (6, 5)(6, 5)
B (8, −4)(8, −4)
C (−8, 2)(−8, 2)
D (4, −6)

Answer 1

To determine which point lies on the line described by the equation \( y = -\frac{1}{2}x + 8 \), we can substitute the x-coordinates of each option into the equation and see if the resulting y-coordinate matches.

1. **Option A: (6, 5)**
\[
y = -\frac{1}{2}(6) + 8 = -3 + 8 = 5
\]
So, point \( (6, 5) \) is on the line.

2. **Option B: (8, −4)**
\[
y = -\frac{1}{2}(8) + 8 = -4 + 8 = 4
\]
So, point \( (8, -4) \) is not on the line.

3. **Option C: (−8, 2)**
\[
y = -\frac{1}{2}(-8) + 8 = 4 + 8 = 12
\]
So, point \( (-8, 2) \) is not on the line.

4. **Option D: (4, −6)**
\[
y = -\frac{1}{2}(4) + 8 = -2 + 8 = 6
\]
So, point \( (4, -6) \) is not on the line.

The only point that lies on the line is **Option A: (6, 5)**.