Question

question find the x- and y-intercepts of the graph of 3x - 8y = 9. 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: Find x-intercept (set y=0)

To find the x - intercept, we set \( y = 0 \) in the equation \( 3x-8y = 9 \). Substituting \( y = 0 \) gives us \( 3x-8(0)=9 \), which simplifies to \( 3x=9 \). Then, we solve for \( x \) by dividing both sides of the equation by 3: \( x=\frac{9}{3}=3 \).

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

To find the y - intercept, we set \( x = 0 \) in the equation \( 3x - 8y=9 \). Substituting \( x = 0 \) gives us \( 3(0)-8y = 9 \), which simplifies to \( - 8y=9 \). Then, we solve for \( y \) by dividing both sides of the equation by - 8: \( y=\frac{9}{-8}=-\frac{9}{8} \).

Answer:

x - intercept: \( 3 \)
y - intercept: \( -\frac{9}{8} \)