Question

find the x- and y-intercepts of the graph of 7x - 9y = 35. state each answer as an integer or an improper fraction in simplest form. answer attempt 1 out of 2 x-intercept: y-intercept:

Explanation:

Step1: Encontrar el intercepto x (y=0)

Sustituir \( y = 0 \) en la ecuación \( 7x - 9y = 35 \):
\( 7x - 9(0) = 35 \)
\( 7x = 35 \)
Dividir ambos lados por 7: \( x = \frac{35}{7} = 5 \)

Step2: Encontrar el intercepto y (x=0)

Sustituir \( x = 0 \) en la ecuación \( 7x - 9y = 35 \):
\( 7(0) - 9y = 35 \)
\( -9y = 35 \)
Dividir ambos lados por -9: \( y = \frac{35}{-9} = -\frac{35}{9} \)

Answer:

x-intercept: \( 5 \)
y-intercept: \( -\frac{35}{9} \)