Find the y-intercept 6y=42

$6 y = 42$

Step 1

Rewrite in slope-intercept form.

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

$y = m x + b$

Divide each term in $6 y = 42$ by $6$ and simplify.

Divide each term in $6 y = 42$ by $6$ .

$\frac{6 y}{6} = \frac{42}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{42}{6}$

Divide $y$ by $1$ .

$y = \frac{42}{6}$

Simplify the right side.

Divide $42$ by $6$ .

$y = 7$

Step 2

Using the slope-intercept form, the y-intercept is $7$ .

$b = 7$

Step 3

y-intercept in point form.

$(0, 7)$

Step 4