Find the x and y Intercepts (-x+5)(x-1)=y

$(- x + 5) (x - 1) = y$

Find the x-intercepts.

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

$(- x + 5) (x - 1) = 0$

Solve the equation.

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$- x + 5 = 0$

$x - 1 = 0$

Set $- x + 5$ equal to $0$ and solve for $x$ .

Set $- x + 5$ equal to $0$ .

$- x + 5 = 0$

Solve $- x + 5 = 0$ for $x$ .

Subtract $5$ from both sides of the equation.

$- x = - 5$

Divide each term in $- x = - 5$ by $- 1$ and simplify.

Divide each term in $- x = - 5$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 5}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 5}{- 1}$

Simplify the right side.

Divide $- 5$ by $- 1$ .

$x = 5$

Set $x - 1$ equal to $0$ and solve for $x$ .

Set $x - 1$ equal to $0$ .

$x - 1 = 0$

Add $1$ to both sides of the equation.

$x = 1$

The final solution is all the values that make $(- x + 5) (x - 1) = 0$ true.

$x = 5, 1$

x-intercept(s) in point form.

x-intercept(s): $(5, 0), (1, 0)$

Find the y-intercepts.

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

$(- (0) + 5) ((0) - 1) = y$

Solve the equation.

Rewrite the equation as $y = (- (0) + 5) ((0) - 1)$ .

$y = (- (0) + 5) ((0) - 1)$

Simplify $(- (0) + 5) ((0) - 1)$ .

Multiply $- 1$ by $0$ .

$y = (0 + 5) ((0) - 1)$

Add $0$ and $5$ .

$y = 5 ((0) - 1)$

Subtract $1$ from $0$ .

$y = 5 \cdot - 1$

Multiply $5$ by $- 1$ .

$y = - 5$

y-intercept(s) in point form.

y-intercept(s): $(0, - 5)$

List the intersections.

x-intercept(s): $(5, 0), (1, 0)$

y-intercept(s): $(0, - 5)$

Find the x and y Intercepts (-x+5)(x-1)=y

Related Questions

Support LCMGCF.com by disabling your adblocker.