Find the Slope and y-intercept 0=1-2y+14x

$0 = 1 - 2 y + 14 x$

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.

$y = m x + b$

Rewrite the equation as $1 - 2 y + 14 x = 0$ .

$1 - 2 y + 14 x = 0$

Move all terms not containing $y$ to the right side of the equation.

Subtract $1$ from both sides of the equation.

$- 2 y + 14 x = - 1$

Subtract $14 x$ from both sides of the equation.

$- 2 y = - 1 - 14 x$

Divide each term in $- 2 y = - 1 - 14 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 1 - 14 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 1}{- 2} + \frac{- 14 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 1}{- 2} + \frac{- 14 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 1}{- 2} + \frac{- 14 x}{- 2}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{1}{2} + \frac{- 14 x}{- 2}$

Cancel the common factor of $- 14$ and $- 2$ .

Factor $- 2$ out of $- 14 x$ .

$y = \frac{1}{2} + \frac{- 2 (7 x)}{- 2}$

Cancel the common factors.

Factor $- 2$ out of $- 2$ .

$y = \frac{1}{2} + \frac{- 2 (7 x)}{- 2 (1)}$

Cancel the common factor.

$y = \frac{1}{2} + \frac{- 2 (7 x)}{- 2 \cdot 1}$

Rewrite the expression.

$y = \frac{1}{2} + \frac{7 x}{1}$

Divide $7 x$ by $1$ .

$y = \frac{1}{2} + 7 x$

Reorder $\frac{1}{2}$ and $7 x$ .

$y = 7 x + \frac{1}{2}$

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

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

$m = 7$

$b = \frac{1}{2}$

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

Slope: $7$

y-intercept: $(0, \frac{1}{2})$

Slope: $7$

y-intercept: $(0, \frac{1}{2})$

Find the Slope and y-intercept 0=1-2y+14x

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