Algebra Examples

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

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 $x$ .

$0 = - 8 x - 7$

Step 1.2

Solve the equation.

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Step 1.2.1

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

$- 8 x - 7 = 0$

Step 1.2.2

Add $7$ to both sides of the equation.

$- 8 x = 7$

Step 1.2.3

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

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Step 1.2.3.1

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

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

Step 1.2.3.2

Simplify the left side.

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Step 1.2.3.2.1

Cancel the common factor of $- 8$ .

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Step 1.2.3.2.1.1

Cancel the common factor.

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

Step 1.2.3.2.1.2

Divide $x$ by $1$ .

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

Step 1.2.3.3

Simplify the right side.

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Step 1.2.3.3.1

Move the negative in front of the fraction.

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

Step 1.3

x-intercept(s) in point form.

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

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 $y$ .

$y = - 8 \cdot 0 - 7$

Step 2.2

Solve the equation.

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Step 2.2.1

Remove parentheses.

$y = - 8 \cdot 0 - 7$

Step 2.2.2

Simplify $- 8 \cdot 0 - 7$ .

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Step 2.2.2.1

Multiply $- 8$ by $0$ .

$y = 0 - 7$

Step 2.2.2.2

Subtract $7$ from $0$ .

$y = - 7$

Step 2.3

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4

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