Question

find the x- and y-intercepts of the graph of 5x + 2y = 20. 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 $y = 0$ in $5x+2y = 20$. Then $5x+2\times0=20$, which simplifies to $5x=20$.

Step2: Solve for x

Divide both sides of $5x = 20$ by 5. So $x=\frac{20}{5}=4$.

Step3: Find y - intercept

Set $x = 0$ in $5x+2y = 20$. Then $5\times0 + 2y=20$, which simplifies to $2y=20$.

Step4: Solve for y

Divide both sides of $2y = 20$ by 2. So $y=\frac{20}{2}=10$.

Answer:

x - intercept: 4
y - intercept: 10