Find the x and y Intercepts x+4y=16

$x + 4 y = 16$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$x + 4 (0) = 16$

Simplify $x + 4 (0)$ .

Multiply $4$ by $0$ .

$x + 0 = 16$

Add $x$ and $0$ .

$x = 16$

x-intercept(s) in point form.

x-intercept(s): $(16, 0)$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$(0) + 4 y = 16$

Solve the equation.

Add $0$ and $4 y$ .

$4 y = 16$

Divide each term in $4 y = 16$ by $4$ and simplify.

Divide each term in $4 y = 16$ by $4$ .

$\frac{4 y}{4} = \frac{16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{16}{4}$

Divide $y$ by $1$ .

$y = \frac{16}{4}$

Simplify the right side.

Divide $16$ by $4$ .

$y = 4$

y-intercept(s) in point form.

y-intercept(s): $(0, 4)$

Step 3

List the intersections.

x-intercept(s): $(16, 0)$

y-intercept(s): $(0, 4)$

Step 4