Finite Math Examples

$4 y + 3 x = 0$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

Step 1.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 1.2

Subtract $3 x$ from both sides of the equation.

$4 y = - 3 x$

Step 1.3

Divide each term in $4 y = - 3 x$ by $4$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $4 y = - 3 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 3 x}{4}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 3 x}{4}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 3 x}{4}$

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Move the negative in front of the fraction.

$y = - \frac{3 x}{4}$

Step 1.4

Write in $y = m x + b$ form.

Tap for more steps...

Step 1.4.1

Reorder terms.

$y = - (\frac{3}{4} x)$

Step 1.4.2

Remove parentheses.

$y = - \frac{3}{4} x$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - \frac{3}{4}$

$b = 0$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- \frac{3}{4}$

y-intercept: $(0, 0)$

Slope: $- \frac{3}{4}$

y-intercept: $(0, 0)$

Step 3