Finite Math Examples

$5 x - y = - 2$

Step 1

Find the x-intercepts.

Tap for more steps...

Step 1.1

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

$5 x - (0) = - 2$

Step 1.2

Solve the equation.

Tap for more steps...

Step 1.2.1

Subtract $0$ from $5 x$ .

$5 x = - 2$

Step 1.2.2

Divide each term in $5 x = - 2$ by $5$ and simplify.

Tap for more steps...

Step 1.2.2.1

Divide each term in $5 x = - 2$ by $5$ .

$\frac{5 x}{5} = \frac{- 2}{5}$

Step 1.2.2.2

Simplify the left side.

Tap for more steps...

Step 1.2.2.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.2.2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 2}{5}$

Step 1.2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 2}{5}$

Step 1.2.2.3

Simplify the right side.

Tap for more steps...

Step 1.2.2.3.1

Move the negative in front of the fraction.

$x = - \frac{2}{5}$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(- \frac{2}{5}, 0)$

Step 2

Find the y-intercepts.

Tap for more steps...

Step 2.1

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

$5 (0) - y = - 2$

Step 2.2

Solve the equation.

Tap for more steps...

Step 2.2.1

Simplify $5 (0) - y$ .

Tap for more steps...

Step 2.2.1.1

Multiply $5$ by $0$ .

$0 - y = - 2$

Step 2.2.1.2

Subtract $y$ from $0$ .

$- y = - 2$

Step 2.2.2

Divide each term in $- y = - 2$ by $- 1$ and simplify.

Tap for more steps...

Step 2.2.2.1

Divide each term in $- y = - 2$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 2}{- 1}$

Step 2.2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 2}{- 1}$

Step 2.2.2.2.2

Divide $y$ by $1$ .

$y = \frac{- 2}{- 1}$

Step 2.2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.2.3.1

Divide $- 2$ by $- 1$ .

$y = 2$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, 2)$

Step 3

List the intersections.

x-intercept(s): $(- \frac{2}{5}, 0)$

y-intercept(s): $(0, 2)$

Step 4