Find the x and y Intercepts -x/3.5+y/12.5=1

$- \frac{x}{3.5} + \frac{y}{12.5} = 1$

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$- \frac{x}{3.5} + \frac{0}{12.5} = 1$

Solve the equation.

Simplify $- \frac{x}{3.5} + \frac{0}{12.5}$ .

Combine the opposite terms in $- \frac{x}{3.5} + \frac{0}{12.5}$ .

Divide $0$ by $12.5$ .

$- \frac{x}{3.5} + 0 = 1$

Add $- \frac{x}{3.5}$ and $0$ .

$- \frac{x}{3.5} = 1$

Multiply by $1$ .

$- \frac{1 x}{3.5} = 1$

Factor $3.5$ out of $3.5$ .

$- \frac{1 x}{3.5 (1)} = 1$

Separate fractions.

$- (\frac{1}{3.5} \cdot \frac{x}{1}) = 1$

Divide $1$ by $3.5$ .

$- (0.\overline{285714} \frac{x}{1}) = 1$

Divide $x$ by $1$ .

$- (0.\overline{285714} x) = 1$

Multiply $0.\overline{285714}$ by $- 1$ .

$- 0.\overline{285714} x = 1$

Divide each term in $- 0.\overline{285714} x = 1$ by $- 0.\overline{285714}$ and simplify.

Divide each term in $- 0.\overline{285714} x = 1$ by $- 0.\overline{285714}$ .

$\frac{- 0.\overline{285714} x}{- 0.\overline{285714}} = \frac{1}{- 0.\overline{285714}}$

Simplify the left side.

Cancel the common factor of $- 0.\overline{285714}$ .

Cancel the common factor.

$\frac{- 0.\overline{285714} x}{- 0.\overline{285714}} = \frac{1}{- 0.\overline{285714}}$

Divide $x$ by $1$ .

$x = \frac{1}{- 0.\overline{285714}}$

Simplify the right side.

Divide $1$ by $- 0.\overline{285714}$ .

$x = - 3.5$

x-intercept(s) in point form.

x-intercept(s): $(- 3.5, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$- \frac{0}{3.5} + \frac{y}{12.5} = 1$

Solve the equation.

Simplify $- \frac{0}{3.5} + \frac{y}{12.5}$ .

Divide $0$ by $3.5$ .

$- 0 + \frac{y}{12.5} = 1$

Simplify each term.

Multiply $- 1$ by $0$ .

$0 + \frac{y}{12.5} = 1$

Multiply by $1$ .

$0 + \frac{1 y}{12.5} = 1$

Factor $12.5$ out of $12.5$ .

$0 + \frac{1 y}{12.5 (1)} = 1$

Separate fractions.

$0 + \frac{1}{12.5} \cdot \frac{y}{1} = 1$

Divide $1$ by $12.5$ .

$0 + 0.08 \frac{y}{1} = 1$

Divide $y$ by $1$ .

$0 + 0.08 y = 1$

Add $0$ and $0.08 y$ .

$0.08 y = 1$

Divide each term in $0.08 y = 1$ by $0.08$ and simplify.

Divide each term in $0.08 y = 1$ by $0.08$ .

$\frac{0.08 y}{0.08} = \frac{1}{0.08}$

Simplify the left side.

Cancel the common factor of $0.08$ .

Cancel the common factor.

$\frac{0.08 y}{0.08} = \frac{1}{0.08}$

Divide $y$ by $1$ .

$y = \frac{1}{0.08}$

Simplify the right side.

Divide $1$ by $0.08$ .

$y = 12.5$

y-intercept(s) in point form.

y-intercept(s): $(0, 12.5)$

List the intersections.

x-intercept(s): $(- 3.5, 0)$

y-intercept(s): $(0, 12.5)$

Find the x and y Intercepts -x/3.5+y/12.5=1

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