Finite Math Examples

$0 x + 1 y + 1 = 0$

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 $x$ .

$0 x + 1 (0) + 1 = 0$

Step 1.2

Solve the equation.

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Step 1.2.1

Simplify $0 x + 1 (0) + 1$ .

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Step 1.2.1.1

Simplify each term.

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Step 1.2.1.1.1

Multiply $0$ by $x$ .

$0 + 1 (0) + 1 = 0$

Step 1.2.1.1.2

Multiply $0$ by $1$ .

$0 + 0 + 1 = 0$

Step 1.2.1.2

Simplify by adding numbers.

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Step 1.2.1.2.1

Add $0$ and $0$ .

$0 + 1 = 0$

Step 1.2.1.2.2

Add $0$ and $1$ .

$1 = 0$

Step 1.2.2

Since $1 \neq 0$ , there are no solutions.

No solution

Step 1.3

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

x-intercept(s): $None$

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 $y$ .

$0 (0) + 1 y + 1 = 0$

Step 2.2

Solve the equation.

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Step 2.2.1

Simplify $0 (0) + 1 y + 1$ .

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Step 2.2.1.1

Simplify each term.

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Step 2.2.1.1.1

Multiply $0$ by $0$ .

$0 + 1 y + 1 = 0$

Step 2.2.1.1.2

Multiply $y$ by $1$ .

$0 + y + 1 = 0$

Step 2.2.1.2

Add $0$ and $y$ .

$y + 1 = 0$

Step 2.2.2

Subtract $1$ from both sides of the equation.

$y = - 1$

Step 2.3

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $None$

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

Step 4