Question

find the x- and y-intercepts of the graph of -3x + 2y = 20. state each answer as an integer or an improper fraction in simplest form. answer attempt 2 out of 2 x-intercept: y-intercept:

Explanation:

Step1: Encontrar el intercepto x (y=0)

Sustituir \( y = 0 \) en la ecuación \( -3x + 2y = 20 \):
\( -3x + 2(0) = 20 \)
\( -3x = 20 \)
Dividir ambos lados por -3:
\( x = \frac{20}{-3} = -\frac{20}{3} \)

Step2: Encontrar el intercepto y (x=0)

Sustituir \( x = 0 \) en la ecuación \( -3x + 2y = 20 \):
\( -3(0) + 2y = 20 \)
\( 2y = 20 \)
Dividir ambos lados por 2:
\( y = 10 \)

Answer:

x-intercept: \( -\frac{20}{3} \)
y-intercept: \( 10 \)