Finite Math Examples

$y - 6 = - 2 (x + 4)$

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 $x$ .

$(0) - 6 = - 2 (x + 4)$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as $- 2 (x + 4) = (0) - 6$ .

$- 2 (x + 4) = (0) - 6$

Step 1.2.2

Subtract $6$ from $0$ .

$- 2 (x + 4) = - 6$

Step 1.2.3

Divide each term in $- 2 (x + 4) = - 6$ by $- 2$ and simplify.

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Step 1.2.3.1

Divide each term in $- 2 (x + 4) = - 6$ by $- 2$ .

$\frac{- 2 (x + 4)}{- 2} = \frac{- 6}{- 2}$

Step 1.2.3.2

Simplify the left side.

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Step 1.2.3.2.1

Cancel the common factor of $- 2$ .

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Step 1.2.3.2.1.1

Cancel the common factor.

$\frac{- 2 (x + 4)}{- 2} = \frac{- 6}{- 2}$

Step 1.2.3.2.1.2

Divide $x + 4$ by $1$ .

$x + 4 = \frac{- 6}{- 2}$

Step 1.2.3.3

Simplify the right side.

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Step 1.2.3.3.1

Divide $- 6$ by $- 2$ .

$x + 4 = 3$

Step 1.2.4

Move all terms not containing $x$ to the right side of the equation.

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Step 1.2.4.1

Subtract $4$ from both sides of the equation.

$x = 3 - 4$

Step 1.2.4.2

Subtract $4$ from $3$ .

$x = - 1$

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 $y$ .

$y - 6 = - 2 ((0) + 4)$

Step 2.2

Solve the equation.

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Step 2.2.1

Simplify $- 2 ((0) + 4)$ .

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Step 2.2.1.1

Add $0$ and $4$ .

$y - 6 = - 2 \cdot 4$

Step 2.2.1.2

Multiply $- 2$ by $4$ .

$y - 6 = - 8$

Step 2.2.2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.2.2.1

Add $6$ to both sides of the equation.

$y = - 8 + 6$

Step 2.2.2.2

Add $- 8$ and $6$ .

$y = - 2$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, - 2)$

Step 3

List the intersections.

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

y-intercept(s): $(0, - 2)$

Step 4