Finite Math Examples

$- 5 x + 38 = y$

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 $x$ .

$- 5 x + 38 = 0$

Step 1.2

Solve the equation.

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Step 1.2.1

Subtract $38$ from both sides of the equation.

$- 5 x = - 38$

Step 1.2.2

Divide each term in $- 5 x = - 38$ by $- 5$ and simplify.

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Step 1.2.2.1

Divide each term in $- 5 x = - 38$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 38}{- 5}$

Step 1.2.2.2

Simplify the left side.

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Step 1.2.2.2.1

Cancel the common factor of $- 5$ .

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Step 1.2.2.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 38}{- 5}$

Step 1.2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 38}{- 5}$

Step 1.2.2.3

Simplify the right side.

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Step 1.2.2.3.1

Dividing two negative values results in a positive value.

$x = \frac{38}{5}$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(\frac{38}{5}, 0)$

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 $y$ .

$- 5 \cdot 0 + 38 = y$

Step 2.2

Solve the equation.

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Step 2.2.1

Rewrite the equation as $y = - 5 \cdot 0 + 38$ .

$y = - 5 \cdot 0 + 38$

Step 2.2.2

Simplify $- 5 \cdot 0 + 38$ .

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Step 2.2.2.1

Multiply $- 5$ by $0$ .

$y = 0 + 38$

Step 2.2.2.2

Add $0$ and $38$ .

$y = 38$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, 38)$

Step 3

List the intersections.

x-intercept(s): $(\frac{38}{5}, 0)$

y-intercept(s): $(0, 38)$

Step 4