Algebra Examples

$16 y = 4 + x$

Step 1

Find the x-intercepts.

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Step 1.1

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

$16 (0) = 4 + x$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as $4 + x = 16 (0)$ .

$4 + x = 16 (0)$

Step 1.2.2

Multiply $16$ by $0$ .

$4 + x = 0$

Step 1.2.3

Subtract $4$ from both sides of the equation.

$x = - 4$

Step 1.3

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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Step 2.1

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

$16 y = 4 + 0$

Step 2.2

Solve the equation.

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Step 2.2.1

Add $4$ and $0$ .

$16 y = 4$

Step 2.2.2

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

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Step 2.2.2.1

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

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

Step 2.2.2.2

Simplify the left side.

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Step 2.2.2.2.1

Cancel the common factor of $16$ .

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Step 2.2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.2.1.2

Divide $y$ by $1$ .

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

Step 2.2.2.3

Simplify the right side.

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Step 2.2.2.3.1

Cancel the common factor of $4$ and $16$ .

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Step 2.2.2.3.1.1

Factor $4$ out of $4$ .

$y = \frac{4 (1)}{16}$

Step 2.2.2.3.1.2

Cancel the common factors.

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Step 2.2.2.3.1.2.1

Factor $4$ out of $16$ .

$y = \frac{4 \cdot 1}{4 \cdot 4}$

Step 2.2.2.3.1.2.2

Cancel the common factor.

$y = \frac{4 \cdot 1}{4 \cdot 4}$

Step 2.2.2.3.1.2.3

Rewrite the expression.

$y = \frac{1}{4}$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{1}{4})$

Step 3

List the intersections.

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

y-intercept(s): $(0, \frac{1}{4})$

Step 4