Finite Math Examples

$8 y = - 4 x - 4$

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 $x$ .

$8 (0) = - 4 x - 4$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as $- 4 x - 4 = 8 (0)$ .

$- 4 x - 4 = 8 (0)$

Step 1.2.2

Multiply $8$ by $0$ .

$- 4 x - 4 = 0$

Step 1.2.3

Add $4$ to both sides of the equation.

$- 4 x = 4$

Step 1.2.4

Divide each term in $- 4 x = 4$ by $- 4$ and simplify.

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Step 1.2.4.1

Divide each term in $- 4 x = 4$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{4}{- 4}$

Step 1.2.4.2

Simplify the left side.

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Step 1.2.4.2.1

Cancel the common factor of $- 4$ .

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Step 1.2.4.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{4}{- 4}$

Step 1.2.4.2.1.2

Divide $x$ by $1$ .

$x = \frac{4}{- 4}$

Step 1.2.4.3

Simplify the right side.

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Step 1.2.4.3.1

Divide $4$ by $- 4$ .

$x = - 1$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(- 1, 0)$

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 $y$ .

$8 y = - 4 \cdot 0 - 4$

Step 2.2

Solve the equation.

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Step 2.2.1

Simplify.

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Step 2.2.1.1

Multiply $- 4$ by $0$ .

$8 y = 0 - 4$

Step 2.2.1.2

Subtract $4$ from $0$ .

$8 y = - 4$

Step 2.2.2

Divide each term in $8 y = - 4$ by $8$ and simplify.

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Step 2.2.2.1

Divide each term in $8 y = - 4$ by $8$ .

$\frac{8 y}{8} = \frac{- 4}{8}$

Step 2.2.2.2

Simplify the left side.

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Step 2.2.2.2.1

Cancel the common factor of $8$ .

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Step 2.2.2.2.1.1

Cancel the common factor.

$\frac{8 y}{8} = \frac{- 4}{8}$

Step 2.2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 4}{8}$

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 $8$ .

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Step 2.2.2.3.1.1

Factor $4$ out of $- 4$ .

$y = \frac{4 (- 1)}{8}$

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 $8$ .

$y = \frac{4 \cdot - 1}{4 \cdot 2}$

Step 2.2.2.3.1.2.2

Cancel the common factor.

$y = \frac{4 \cdot - 1}{4 \cdot 2}$

Step 2.2.2.3.1.2.3

Rewrite the expression.

$y = \frac{- 1}{2}$

Step 2.2.2.3.2

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{1}{2})$

Step 3

List the intersections.

x-intercept(s): $(- 1, 0)$

y-intercept(s): $(0, - \frac{1}{2})$

Step 4