Algebra Examples

$7 y = 7$

Step 1

Rewrite in slope-intercept form.

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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

Divide each term in $7 y = 7$ by $7$ and simplify.

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Step 1.2.1

Divide each term in $7 y = 7$ by $7$ .

$\frac{7 y}{7} = \frac{7}{7}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $7$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{7}{7}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{7}{7}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $7$ by $7$ .

$y = 1$

Step 2

Using the slope-intercept form, the y-intercept is $1$ .

$b = 1$

Step 3

y-intercept in point form.

$(0, 1)$

Step 4