Algebra Examples

$f (x) = x + 2$

Find the $x-intercepts$

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

$0 = x + 2$

Solve the equation.

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Rewrite the equation as $x + 2 = 0$ .

$x + 2 = 0$

Subtract $2$ from both sides of the equation.

$x = - 2$

x-intercept(s) in point form.

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

Find the $y-intercepts$

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

$y = (0) + 2$

Solve the equation.

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Remove the parentheses around the expression $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

y-intercept(s) in point form.

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

List the intersections.

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

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

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