Question

Find the points of y=-5/4x-2

Answer 1

To find points on the line defined by the equation \( y = -\frac{5}{4}x - 2 \), we can choose various values for \( x \) and then calculate the corresponding \( y \) values. Here are a few examples:

1. **When** \( x = 0 \):
\[
y = -\frac{5}{4}(0) - 2 = -2
\]
Point: \( (0, -2) \)

2. **When** \( x = 4 \):
\[
y = -\frac{5}{4}(4) - 2 = -5 - 2 = -7
\]
Point: \( (4, -7) \)

3. **When** \( x = -4 \):
\[
y = -\frac{5}{4}(-4) - 2 = 5 - 2 = 3
\]
Point: \( (-4, 3) \)

4. **When** \( x = -8 \):
\[
y = -\frac{5}{4}(-8) - 2 = 10 - 2 = 8
\]
Point: \( (-8, 8) \)

5. **When** \( x = 8 \):
\[
y = -\frac{5}{4}(8) - 2 = -10 - 2 = -12
\]
Point: \( (8, -12) \)

Thus, some points on the line \( y = -\frac{5}{4}x - 2 \) are:
- \( (0, -2) \)
- \( (4, -7) \)
- \( (-4, 3) \)
- \( (-8, 8) \)
- \( (8, -12) \)

You can choose any value for \( x \) to find additional points along this line.