To find the x-intercept, we substitute $y=0$ into the equation $164x+6y=16$ and solve for $x$. We have $164x+6(0)=16$, so $164x=16$ and $x=\frac{16}{164}=\frac{2}{41}$.
To find the y-intercept, we substitute $x=0$ into the equation $164x+6y=16$ and solve for $y$. We have $164(0)+6y=16$, so $6y=16$ and $y=\frac{16}{6}=\boxed{\frac83}$.
Find the x- and y-intercepts of the graph of 4, x, plus, 6, y, equals, 164x+6y=16. State each answer as an integer or an improper fraction in simplest form.
3 answers
as usual, the user's misuse of text copying messed things up. He wrote
4, x, plus, 6, y, equals, 164x+6y=16
but duplicated the math part. That means the real equation was
4x+6y=16
so, dividing by 16, we have
x/4 + y/(8/3) = 1
giving us the intercepts of (4,0) and (0,8/3)
4, x, plus, 6, y, equals, 164x+6y=16
but duplicated the math part. That means the real equation was
4x+6y=16
so, dividing by 16, we have
x/4 + y/(8/3) = 1
giving us the intercepts of (4,0) and (0,8/3)
You are correct, my apologies for the confusion. The correct equation is $4x+6y=16$.
To find the x-intercept, we substitute $y=0$ into the equation and solve for $x$. We have $4x+6(0)=16$, so $4x=16$ and $x=4$. Therefore, the x-intercept is $(4, 0)$.
To find the y-intercept, we substitute $x=0$ into the equation and solve for $y$. We have $4(0)+6y=16$, so $6y=16$ and $y=\frac{16}{6}=\frac{8}{3}$. Therefore, the y-intercept is $\left(0, \frac{8}{3}\right)$.
To find the x-intercept, we substitute $y=0$ into the equation and solve for $x$. We have $4x+6(0)=16$, so $4x=16$ and $x=4$. Therefore, the x-intercept is $(4, 0)$.
To find the y-intercept, we substitute $x=0$ into the equation and solve for $y$. We have $4(0)+6y=16$, so $6y=16$ and $y=\frac{16}{6}=\frac{8}{3}$. Therefore, the y-intercept is $\left(0, \frac{8}{3}\right)$.
1 answer