To rewrite the equation \( 8x - 4y = 40 \) in slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), we need to isolate \( y \).
Starting with the given equation:
\[ 8x - 4y = 40 \]
- Subtract \( 8x \) from both sides:
\[ -4y = -8x + 40 \]
- Now, divide every term by \(-4\) to solve for \( y \):
\[ y = 2x - 10 \]
Now the equation is in slope-intercept form.
From this equation:
- The slope of the line is \( 2 \).
- The y-intercept of the line is \( -10 \).
Thus, we can complete the statements:
The slope of the line is 2.
The y intercept of the line is -10.