Find the x and y Intercepts (9-x)/7=y

$\frac{9 - x}{7} = y$

Step 1

Find the x-intercepts.

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

$\frac{9 - x}{7} = 0$

Solve the equation.

Set the numerator equal to zero.

$9 - x = 0$

Solve the equation for $x$ .

Subtract $9$ from both sides of the equation.

$- x = - 9$

Divide each term in $- x = - 9$ by $- 1$ and simplify.

Divide each term in $- x = - 9$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 9}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 9}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 9}{- 1}$

Simplify the right side.

Divide $- 9$ by $- 1$ .

$x = 9$

x-intercept(s) in point form.

x-intercept(s): $(9, 0)$

Step 2

Find the y-intercepts.

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

$\frac{9 - (0)}{7} = y$

Solve the equation.

Rewrite the equation as $y = \frac{9 - (0)}{7}$ .

$y = \frac{9 - (0)}{7}$

Simplify the numerator.

Multiply $- 1$ by $0$ .

$y = \frac{9 + 0}{7}$

Add $9$ and $0$ .

$y = \frac{9}{7}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{9}{7})$

Step 3

List the intersections.

x-intercept(s): $(9, 0)$

y-intercept(s): $(0, \frac{9}{7})$

Step 4