Find the x and y Intercepts f(x)=16(x+6)+13

$f (x) = 16 (x + 6) + 13$

Step 1

Find the x-intercepts.

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

$0 = 16 (x + 6) + 13$

Solve the equation.

Rewrite the equation as $16 (x + 6) + 13 = 0$ .

$16 (x + 6) + 13 = 0$

Simplify $16 (x + 6) + 13$ .

Simplify each term.

Apply the distributive property.

$16 x + 16 \cdot 6 + 13 = 0$

Multiply $16$ by $6$ .

$16 x + 96 + 13 = 0$

Add $96$ and $13$ .

$16 x + 109 = 0$

Subtract $109$ from both sides of the equation.

$16 x = - 109$

Divide each term in $16 x = - 109$ by $16$ and simplify.

Divide each term in $16 x = - 109$ by $16$ .

$\frac{16 x}{16} = \frac{- 109}{16}$

Simplify the left side.

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16 x}{16} = \frac{- 109}{16}$

Divide $x$ by $1$ .

$x = \frac{- 109}{16}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{109}{16}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{109}{16}, 0)$

Step 2

Find the y-intercepts.

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

$y = 16 ((0) + 6) + 13$

Solve the equation.

Remove parentheses.

$y = 16 (0 + 6) + 13$

Remove parentheses.

$y = 16 ((0) + 6) + 13$

Simplify $16 ((0) + 6) + 13$ .

Simplify each term.

Add $0$ and $6$ .

$y = 16 \cdot 6 + 13$

Multiply $16$ by $6$ .

$y = 96 + 13$

Add $96$ and $13$ .

$y = 109$

y-intercept(s) in point form.

y-intercept(s): $(0, 109)$

Step 3

List the intersections.

x-intercept(s): $(- \frac{109}{16}, 0)$

y-intercept(s): $(0, 109)$

Step 4

Find the x and y Intercepts f(x)=16(x+6)+13

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