Pre-Algebra Examples

$6 x + 3 y = 90$

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 $6 x$ from both sides of the equation.

$3 y = 90 - 6 x$

Step 1.3

Divide each term in $3 y = 90 - 6 x$ by $3$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $3 y = 90 - 6 x$ by $3$ .

$\frac{3 y}{3} = \frac{90}{3} + \frac{- 6 x}{3}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{90}{3} + \frac{- 6 x}{3}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{90}{3} + \frac{- 6 x}{3}$

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Simplify each term.

Tap for more steps...

Step 1.3.3.1.1

Divide $90$ by $3$ .

$y = 30 + \frac{- 6 x}{3}$

Step 1.3.3.1.2

Cancel the common factor of $- 6$ and $3$ .

Tap for more steps...

Step 1.3.3.1.2.1

Factor $3$ out of $- 6 x$ .

$y = 30 + \frac{3 (- 2 x)}{3}$

Step 1.3.3.1.2.2

Cancel the common factors.

Tap for more steps...

Step 1.3.3.1.2.2.1

Factor $3$ out of $3$ .

$y = 30 + \frac{3 (- 2 x)}{3 (1)}$

Step 1.3.3.1.2.2.2

Cancel the common factor.

$y = 30 + \frac{3 (- 2 x)}{3 \cdot 1}$

Step 1.3.3.1.2.2.3

Rewrite the expression.

$y = 30 + \frac{- 2 x}{1}$

Step 1.3.3.1.2.2.4

Divide $- 2 x$ by $1$ .

$y = 30 - 2 x$

Step 1.4

Reorder $30$ and $- 2 x$ .

$y = - 2 x + 30$

Step 2

Using the slope-intercept form, the y-intercept is $30$ .

$b = 30$

Step 3

y-intercept in point form.

$(0, 30)$

Step 4