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

3 answers

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 \(-\frac{1}{4}\).

slope of y+3=-4x

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 \(-4\).