2x + 5y = -10 rewrite the equation in slope intercept form then identify the slope and the y intercept of the line

Answer: \( y = -\frac{2}{5}x - 2 \)
Slope: \( -\frac{2}{5} \)
Y-intercept: \( -2 \)

Explanation: To rewrite the equation \( 2x + 5y = -10 \) in slope-intercept form \( y = mx + b \), we need to solve for \( y \).

Steps:

1. Subtract \( 2x \) from both sides:

\( 5y = -2x - 10 \)

1. Divide by \( 5 \):

\( y = -\frac{2}{5}x - 2 \)

From this form, we can see that the slope \( m \) is \( -\frac{2}{5} \) and the y-intercept \( b \) is \( -2 \).