Algebra Examples

$4 = x - y$

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 $x$ .

$4 = x - (0)$

Step 1.2

Solve the equation.

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Step 1.2.1

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

$x - (0) = 4$

Step 1.2.2

Subtract $0$ from $x$ .

$x = 4$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(4, 0)$

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 $y$ .

$4 = (0) - y$

Step 2.2

Solve the equation.

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Step 2.2.1

Rewrite the equation as $(0) - y = 4$ .

$(0) - y = 4$

Step 2.2.2

Subtract $y$ from $0$ .

$- y = 4$

Step 2.2.3

Divide each term in $- y = 4$ by $- 1$ and simplify.

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Step 2.2.3.1

Divide each term in $- y = 4$ by $- 1$ .

$\frac{- y}{- 1} = \frac{4}{- 1}$

Step 2.2.3.2

Simplify the left side.

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Step 2.2.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{4}{- 1}$

Step 2.2.3.2.2

Divide $y$ by $1$ .

$y = \frac{4}{- 1}$

Step 2.2.3.3

Simplify the right side.

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Step 2.2.3.3.1

Divide $4$ by $- 1$ .

$y = - 4$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, - 4)$

Step 3

List the intersections.

x-intercept(s): $(4, 0)$

y-intercept(s): $(0, - 4)$

Step 4