Question

Which equation is parallel to a line that has a slope of −4 ?

(1 point)
Responses

y=−4x+3y is equal to negative 4 x plus 3

y=14x−1y is equal to 1 fourth x minus 1

y=−14x+3y is equal to negative 1 fourth x plus 3

y=4x−1

Answer 1

To find an equation of a line that is parallel to another line, we need to ensure that the slopes of both lines are the same.

The slope of the given line is \( -4 \). Therefore, any line parallel to it must also have a slope of \( -4 \).

Let's analyze the given options:

1. \( y = -4x + 3 \) — slope is \( -4 \) (parallel)
2. \( y = \frac{1}{4}x - 1 \) — slope is \( \frac{1}{4} \) (not parallel)
3. \( y = -\frac{1}{4}x + 3 \) — slope is \( -\frac{1}{4} \) (not parallel)
4. \( y = 4x - 1 \) — slope is \( 4 \) (not parallel)

The only equation that is parallel to the line with a slope of \( -4 \) is:

**\( y = -4x + 3 \)**.