Algebra Examples

$y = - 4 x$

Step 1

Find the x-intercepts.

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

$0 = - 4 x$

Solve the equation.

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

$- 4 x = 0$

Divide each term in $- 4 x = 0$ by $- 4$ and simplify.

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Divide each term in $- 4 x = 0$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{0}{- 4}$

Simplify the left side.

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Cancel the common factor of $- 4$ .

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Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{0}{- 4}$

Divide $x$ by $1$ .

$x = \frac{0}{- 4}$

Simplify the right side.

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Divide $0$ by $- 4$ .

$x = 0$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$y = - 4 \cdot 0$

Solve the equation.

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Remove parentheses.

$y = - 4 \cdot 0$

Multiply $- 4$ by $0$ .

$y = 0$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4