Question

Describe the vertical translation between y=5x+2
and y=−7x
.(1 point)
Responses

2 points below the equation y=−7x
2 points below the equation y equals negative 7 x

−7
points below the equation y=−7x
negative 7 points below the equation y equals negative 7 x

2 points above the equation y=−7x
2 points above the equation y equals negative 7 x

y=5x+2

Answer 1

To determine the vertical translation between the two equations \( y = 5x + 2 \) and \( y = -7x \), we can analyze their y-intercepts.

1. **Identify the y-intercepts:**
- The y-intercept of the equation \( y = 5x + 2 \) is 2 (when \( x = 0 \)).
- The y-intercept of the equation \( y = -7x \) is 0 (when \( x = 0 \)).

2. **Find the difference between the y-intercepts:**
- The difference is \( 2 - 0 = 2 \).

This means that the line \( y = 5x + 2 \) is translated **2 units above** the line \( y = -7x \).

So, the correct response is:

**2 points above the equation \( y = -7x \)**.