Question

question
find the x - and y - intercepts of the graph of (7x + 6y = 18). 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 \(7x+6y = 18\). Substituting \(y = 0\) into the equation gives us \(7x+6(0)=18\), which simplifies to \(7x=18\). Then, we solve for \(x\) by dividing both sides of the equation by 7. So, \(x=\frac{18}{7}\).

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

To find the y - intercept, we set \(x = 0\) in the equation \(7x + 6y=18\). Substituting \(x = 0\) into the equation gives us \(7(0)+6y=18\), which simplifies to \(6y = 18\). Then, we solve for \(y\) by dividing both sides of the equation by 6. So, \(y=\frac{18}{6}=3\).

Answer:

x - intercept: \(\frac{18}{7}\)
y - intercept: \(3\)