Question

find the x- and y-intercepts of the graph of 2x - 10y = 22. state each answer as an integer or an improper fraction in simplest form.
answer
attempt 1 out of 100
x-intercept:

y-intercept:

Explanation:

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

Set \( y = 0 \) in the equation \( 2x - 10y = 22 \).
We get \( 2x-10\times0 = 22 \), which simplifies to \( 2x=22 \).
Divide both sides by 2: \( x=\frac{22}{2}=11 \).

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

Set \( x = 0 \) in the equation \( 2x - 10y = 22 \).
We get \( 2\times0 - 10y=22 \), which simplifies to \( - 10y = 22 \).
Divide both sides by - 10: \( y=\frac{22}{-10}=-\frac{11}{5} \).

Answer:

x - intercept: \( 11 \)
y - intercept: \( -\frac{11}{5} \)