Question

question
find the x- and y-intercepts of the graph of (4x + 9y = 20). state each answer as an improper fraction in simplest form.
answer
x-intercept: (square)
y-intercept: (square)

Explanation:

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

Substitute \( y = 0 \) into \( 4x + 9y = 20 \):
\( 4x + 9(0) = 20 \)
\( 4x = 20 \)
\( x = \frac{20}{4} = 5 \)

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

Substitute \( x = 0 \) into \( 4x + 9y = 20 \):
\( 4(0) + 9y = 20 \)
\( 9y = 20 \)
\( y = \frac{20}{9} \)

Answer:

x-intercept: \( 5 \)
y-intercept: \( \frac{20}{9} \)