Algebra Examples

$f (x) = - 8 x - 7$

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

$0 = - 8 x - 7$

Solve the equation.

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Rewrite the equation as $- 8 x - 7 = 0$ .

$- 8 x - 7 = 0$

Add $7$ to both sides of the equation.

$- 8 x = 7$

Divide each term by $- 8$ and simplify.

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Divide each term in $- 8 x = 7$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{7}{- 8}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{7}{- 8}$

Divide $x$ by $1$ .

$x = \frac{7}{- 8}$

Move the negative in front of the fraction.

$x = - \frac{7}{8}$

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

$y = - 8 \cdot 0 - 7$

Simplify $- 8 \cdot 0 - 7$ .

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Multiply $- 8$ by $0$ .

$y = 0 - 7$

Subtract $7$ from $0$ .

$y = - 7$

These are the $x$ and $y$ intercepts of the equation $y = - 8 x - 7$ .

x-intercept: $(- \frac{7}{8}, 0)$

y-intercept: $(0, - 7)$

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