Question

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

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

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

y=5x+2
y equals 5 x plus 2

Answer 1

To determine the vertical translation between the equations \( y = 5x + 2 \) and \( y = -7x \), we should identify the y-intercepts of both lines, since vertical translation is indicated by the difference in y-values at the x-value where the equations intersect.

The line \( y = -7x \) has a y-intercept of 0 (it crosses the y-axis at (0, 0)).
The line \( y = 5x + 2 \) has a y-intercept of 2 (it crosses the y-axis at (0, 2)).

The vertical translation from \( y = -7x \) to \( y = 5x + 2 \) is 2 units above the equation \( y = -7x \) (since 2 is greater than 0).

So, the answer is:

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