Question

1. find the x- and y- intercepts for 5x + 10y = -20 (2 pts.)

Explanation:

Step1: Find x-intercept (set y=0)

Substitute \( y = 0 \) into \( 5x + 10y = -20 \):
\( 5x + 10(0) = -20 \)
Simplify: \( 5x = -20 \)
Divide by 5: \( x = \frac{-20}{5} = -4 \)

Step2: Find y-intercept (set x=0)

Substitute \( x = 0 \) into \( 5x + 10y = -20 \):
\( 5(0) + 10y = -20 \)
Simplify: \( 10y = -20 \)
Divide by 10: \( y = \frac{-20}{10} = -2 \)

Answer:

x-intercept: \( -4 \) (at \( ( -4, 0) \)), y-intercept: \( -2 \) (at \( (0, -2) \))