Finite Math Examples

$y = (\frac{7}{8}) x + (\frac{31}{8})$

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 $x$ .

$0 = (\frac{7}{8}) x + \frac{31}{8}$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as $(\frac{7}{8}) x + \frac{31}{8} = 0$ .

$(\frac{7}{8}) x + \frac{31}{8} = 0$

Step 1.2.2

Combine $\frac{7}{8}$ and $x$ .

$\frac{7 x}{8} + \frac{31}{8} = 0$

Step 1.2.3

Subtract $\frac{31}{8}$ from both sides of the equation.

$\frac{7 x}{8} = - \frac{31}{8}$

Step 1.2.4

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$7 x = - 31$

Step 1.2.5

Divide each term in $7 x = - 31$ by $7$ and simplify.

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Step 1.2.5.1

Divide each term in $7 x = - 31$ by $7$ .

$\frac{7 x}{7} = \frac{- 31}{7}$

Step 1.2.5.2

Simplify the left side.

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Step 1.2.5.2.1

Cancel the common factor of $7$ .

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Step 1.2.5.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 31}{7}$

Step 1.2.5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 31}{7}$

Step 1.2.5.3

Simplify the right side.

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Step 1.2.5.3.1

Move the negative in front of the fraction.

$x = - \frac{31}{7}$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(- \frac{31}{7}, 0)$

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 $y$ .

$y = (\frac{7}{8}) (0) + \frac{31}{8}$

Step 2.2

Solve the equation.

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Step 2.2.1

Remove parentheses.

$y = (\frac{7}{8}) (0) + \frac{31}{8}$

Step 2.2.2

Multiply $\frac{7}{8}$ by $0$ .

$y = \frac{7}{8} \cdot (0) + \frac{31}{8}$

Step 2.2.3

Multiply $\frac{7}{8}$ by $0$ .

$y = \frac{7}{8} \cdot 0 + \frac{31}{8}$

Step 2.2.4

Remove parentheses.

$y = (\frac{7}{8}) (0) + \frac{31}{8}$

Step 2.2.5

Simplify $(\frac{7}{8}) (0) + \frac{31}{8}$ .

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Step 2.2.5.1

Multiply $\frac{7}{8}$ by $0$ .

$y = 0 + \frac{31}{8}$

Step 2.2.5.2

Add $0$ and $\frac{31}{8}$ .

$y = \frac{31}{8}$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{31}{8})$

Step 3

List the intersections.

x-intercept(s): $(- \frac{31}{7}, 0)$

y-intercept(s): $(0, \frac{31}{8})$

Step 4