Finite Math Examples

$y = 1.8 x - 2.9$

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 $x$ .

$0 = 1.8 x - 2.9$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as $1.8 x - 2.9 = 0$ .

$1.8 x - 2.9 = 0$

Step 1.2.2

Add $2.9$ to both sides of the equation.

$1.8 x = 2.9$

Step 1.2.3

Divide each term in $1.8 x = 2.9$ by $1.8$ and simplify.

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Step 1.2.3.1

Divide each term in $1.8 x = 2.9$ by $1.8$ .

$\frac{1.8 x}{1.8} = \frac{2.9}{1.8}$

Step 1.2.3.2

Simplify the left side.

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Step 1.2.3.2.1

Cancel the common factor of $1.8$ .

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Step 1.2.3.2.1.1

Cancel the common factor.

$\frac{1.8 x}{1.8} = \frac{2.9}{1.8}$

Step 1.2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{2.9}{1.8}$

Step 1.2.3.3

Simplify the right side.

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Step 1.2.3.3.1

Divide $2.9$ by $1.8$ .

$x = 1.6\overline{1}$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(1.6\overline{1}, 0)$

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 $y$ .

$y = 1.8 (0) - 2.9$

Step 2.2

Solve the equation.

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Step 2.2.1

Remove parentheses.

$y = 1.8 (0) - 2.9$

Step 2.2.2

Simplify $1.8 (0) - 2.9$ .

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Step 2.2.2.1

Multiply $1.8$ by $0$ .

$y = 0 - 2.9$

Step 2.2.2.2

Subtract $2.9$ from $0$ .

$y = - 2.9$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, - 2.9)$

Step 3

List the intersections.

x-intercept(s): $(1.6\overline{1}, 0)$

y-intercept(s): $(0, - 2.9)$

Step 4