Finite Math Examples

y - (- 14) = 0 (x - 12)

$y - (- 14) = 0 (x - 12)$

Step 1

Find the x-intercepts.

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Step 1.1

To find the x-intercept(s), substitute in

0

$0$ for

y

$y$ and solve for

x

$x$ .

(0) - (- 14) = 0 (x - 12)

$(0) - (- 14) = 0 (x - 12)$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as

0 (x - 12) = (0) - (- 14)

$0 (x - 12) = (0) - (- 14)$ .

0 (x - 12) = (0) - (- 14)

$0 (x - 12) = (0) - (- 14)$

Step 1.2.2

Multiply

0

$0$ by

x - 12

$x - 12$ .

0 = (0) - (- 14)

$0 = (0) - (- 14)$

Step 1.2.3

Simplify

(0) - (- 14)

$(0) - (- 14)$ .

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Step 1.2.3.1

Multiply

- 1

$- 1$ by

- 14

$- 14$ .

0 = 0 + 14

$0 = 0 + 14$

Step 1.2.3.2

Add

0

$0$ and

14

$14$ .

0 = 14

$0 = 14$

0 = 14

$0 = 14$

Step 1.2.4

Since

0 \neq 14

$0 \neq 14$ , there are no solutions.

No solution

No solution

Step 1.3

To find the x-intercept(s), substitute in

0

$0$ for

y

$y$ and solve for

x

$x$ .

x-intercept(s):

None

$None$

x-intercept(s):

None

$None$

Step 2

Find the y-intercepts.

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Step 2.1

To find the y-intercept(s), substitute in

0

$0$ for

x

$x$ and solve for

y

$y$ .

y - (- 14) = 0 ((0) - 12)

$y - (- 14) = 0 ((0) - 12)$

Step 2.2

Solve the equation.

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Step 2.2.1

Multiply

- 1

$- 1$ by

- 14

$- 14$ .

y + 14 = 0 ((0) - 12)

$y + 14 = 0 ((0) - 12)$

Step 2.2.2

Simplify

0 ((0) - 12)

$0 ((0) - 12)$ .

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Step 2.2.2.1

Subtract

12

$12$ from

0

$0$ .

y + 14 = 0 \cdot - 12

$y + 14 = 0 \cdot - 12$

Step 2.2.2.2

Multiply

0

$0$ by

- 12

$- 12$ .

y + 14 = 0

$y + 14 = 0$

y + 14 = 0

$y + 14 = 0$

Step 2.2.3

Subtract

14

$14$ from both sides of the equation.

y = - 14

$y = - 14$

y = - 14

$y = - 14$

Step 2.3

y-intercept(s) in point form.

y-intercept(s):

(0, - 14)

$(0, - 14)$

y-intercept(s):

(0, - 14)

$(0, - 14)$

Step 3

List the intersections.

x-intercept(s):

None

$None$

y-intercept(s):

(0, - 14)

$(0, - 14)$

Step 4

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$