Question

slope of y=-\frac{1}{4}x+2

Answer 1

slope of y+3=-4x

Answer 2

The equation you provided is in the slope-intercept form of a linear equation, which is \( y = mx + b \). In this form, \( m \) represents the slope and \( b \) represents the y-intercept.

In the equation \( y = -\frac{1}{4}x + 2 \):
- The slope \( m \) is \(-\frac{1}{4}\).

Therefore, the slope of the line is \(-\frac{1}{4}\).

Answer 3

To find the slope of the equation \( y + 3 = -4x \), we can first rearrange it into the slope-intercept form \( y = mx + b \), where \( m \) represents the slope.

Starting with the given equation:

\[
y + 3 = -4x
\]

Subtract \( 3 \) from both sides:

\[
y = -4x - 3
\]

Now, the equation is in slope-intercept form, where:
- The slope \( m \) is \(-4\).

Therefore, the slope of the line is \(-4\).