The equation of a line is 8x - 4y = 40.

Rewrite the equation in slope-intercept form. Then, complete the statements.
The slope of the line is ___.
The y intercept of the line is ___.

1 answer

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:

\[ 8x - 4y = 40 \]

  1. Subtract \( 8x \) from both sides:

\[ -4y = -8x + 40 \]

  1. 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.