Precalculus Examples

$4 = - 2 + 3 - x$ , $(2, 3)$

Step 1

Solve $4 = - 2 + 3 - x$ .

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Step 1.1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 2 + 3 - x = 4$

Step 1.2

Add $- 2$ and $3$ .

$1 - x = 4$

Step 1.3

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

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Step 1.3.1

Subtract $1$ from both sides of the equation.

$- x = 4 - 1$

Step 1.3.2

Subtract $1$ from $4$ .

$- x = 3$

Step 1.4

Divide each term in $- x = 3$ by $- 1$ and simplify.

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Step 1.4.1

Divide each term in $- x = 3$ by $- 1$ .

$\frac{- x}{- 1} = \frac{3}{- 1}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{3}{- 1}$

Step 1.4.2.2

Divide $x$ by $1$ .

$x = \frac{3}{- 1}$

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Divide $3$ by $- 1$ .

$x = - 3$

Step 2

Since $x = - 3$ is a vertical line, the slope is undefined.

Undefined

Step 3

The perpendicular line is horizontal and the slope is $0$ .

$y = 3$

Step 4