Finite Math Examples

$(y) = - (x - 2)$

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 $x$ .

$0 = - (x - 2)$

Step 1.2

Solve the equation.

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Step 1.2.1

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

$- (x - 2) = 0$

Step 1.2.2

Simplify $- (x - 2)$ .

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Step 1.2.2.1

Apply the distributive property.

$- x - - 2 = 0$

Step 1.2.2.2

Multiply $- 1$ by $- 2$ .

$- x + 2 = 0$

Step 1.2.3

Subtract $2$ from both sides of the equation.

$- x = - 2$

Step 1.2.4

Divide each term in $- x = - 2$ by $- 1$ and simplify.

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Step 1.2.4.1

Divide each term in $- x = - 2$ by $- 1$ .

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

Step 1.2.4.2

Simplify the left side.

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Step 1.2.4.2.1

Dividing two negative values results in a positive value.

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

Step 1.2.4.2.2

Divide $x$ by $1$ .

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

Step 1.2.4.3

Simplify the right side.

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Step 1.2.4.3.1

Divide $- 2$ by $- 1$ .

$x = 2$

Step 1.3

x-intercept(s) in point form.

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

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 $y$ .

$y = - ((0) - 2)$

Step 2.2

Solve the equation.

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Step 2.2.1

Remove parentheses.

$y = - ((0) - 2)$

Step 2.2.2

Remove parentheses.

$y = - (0 - 2)$

Step 2.2.3

Remove parentheses.

$y = - ((0) - 2)$

Step 2.2.4

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

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Step 2.2.4.1

Subtract $2$ from $0$ .

$y = - - 2$

Step 2.2.4.2

Multiply $- 1$ by $- 2$ .

$y = 2$

Step 2.3

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4