What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?

–3
Negative StartFraction 4 Over 5 EndFraction.
StartFraction 4 Over 5 EndFraction.
3

1 answer

To determine the slope of the line given by the equation \( y = \frac{4}{5}x - 3 \), we can identify the slope directly from the equation.

In the slope-intercept form of a linear equation, \( y = mx + b \), \( m \) represents the slope and \( b \) represents the y-intercept.

In your equation:

  • The coefficient of \( x \) (which is \( \frac{4}{5} \)) is the slope.
  • The constant term (-3) is the y-intercept.

Therefore, the slope of the line is:

\[ \frac{4}{5} \]

The correct answer is:

\[ \frac{4}{5} \]