Find the x and y Intercepts y=317.5-2.5x

$y = 317.5 - 2.5 x$

Step 1

Find the x-intercepts.

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

$0 = 317.5 - 2.5 x$

Solve the equation.

Rewrite the equation as $317.5 - 2.5 x = 0$ .

$317.5 - 2.5 x = 0$

Subtract $317.5$ from both sides of the equation.

$- 2.5 x = - 317.5$

Divide each term in $- 2.5 x = - 317.5$ by $- 2.5$ and simplify.

Divide each term in $- 2.5 x = - 317.5$ by $- 2.5$ .

$\frac{- 2.5 x}{- 2.5} = \frac{- 317.5}{- 2.5}$

Simplify the left side.

Cancel the common factor of $- 2.5$ .

Cancel the common factor.

$\frac{- 2.5 x}{- 2.5} = \frac{- 317.5}{- 2.5}$

Divide $x$ by $1$ .

$x = \frac{- 317.5}{- 2.5}$

Simplify the right side.

Divide $- 317.5$ by $- 2.5$ .

$x = 127$

x-intercept(s) in point form.

x-intercept(s): $(127, 0)$

Step 2

Find the y-intercepts.

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

$y = 317.5 - 2.5 \cdot 0$

Solve the equation.

Remove parentheses.

$y = 317.5 - 2.5 \cdot 0$

Simplify $317.5 - 2.5 \cdot 0$ .

Multiply $- 2.5$ by $0$ .

$y = 317.5 + 0$

Add $317.5$ and $0$ .

$y = 317.5$

y-intercept(s) in point form.

y-intercept(s): $(0, 317.5)$

Step 3

List the intersections.

x-intercept(s): $(127, 0)$

y-intercept(s): $(0, 317.5)$

Step 4