Question

find the x- and y-intercepts of the graph of $8x + 2y = 34$. state each answer as an integer or an improper fraction in simplest form.

answer
attempt 1 out of 100

x-intercept: \boxed{} y-intercept: \boxed{}

Explanation:

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

To find the x - intercept, we set \( y = 0 \) in the equation \( 8x+2y = 34 \). Substituting \( y = 0 \) gives us \( 8x+2(0)=34 \), which simplifies to \( 8x=34 \). Then, we solve for \( x \) by dividing both sides of the equation by 8: \( x=\frac{34}{8}=\frac{17}{4} \).

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

To find the y - intercept, we set \( x = 0 \) in the equation \( 8x + 2y=34 \). Substituting \( x = 0 \) gives us \( 8(0)+2y=34 \), which simplifies to \( 2y = 34 \). Then, we solve for \( y \) by dividing both sides of the equation by 2: \( y=\frac{34}{2}=17 \).

Answer:

x - intercept: \(\frac{17}{4}\)
y - intercept: \(17\)