Find the x and y Intercepts -x+4y=4

$- x + 4 y = 4$

Step 1

Find the x-intercepts.

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

$- x + 4 (0) = 4$

Solve the equation.

Simplify $- x + 4 (0)$ .

Multiply $4$ by $0$ .

$- x + 0 = 4$

Add $- x$ and $0$ .

$- x = 4$

Divide each term in $- x = 4$ by $- 1$ and simplify.

Divide each term in $- x = 4$ by $- 1$ .

$\frac{- x}{- 1} = \frac{4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{4}{- 1}$

Divide $x$ by $1$ .

$x = \frac{4}{- 1}$

Simplify the right side.

Divide $4$ by $- 1$ .

$x = - 4$

x-intercept(s) in point form.

x-intercept(s): $(- 4, 0)$

Step 2

Find the y-intercepts.

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

$- (0) + 4 y = 4$

Solve the equation.

Simplify $- (0) + 4 y$ .

Multiply $- 1$ by $0$ .

$0 + 4 y = 4$

Add $0$ and $4 y$ .

$4 y = 4$

Divide each term in $4 y = 4$ by $4$ and simplify.

Divide each term in $4 y = 4$ by $4$ .

$\frac{4 y}{4} = \frac{4}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{4}{4}$

Divide $y$ by $1$ .

$y = \frac{4}{4}$

Simplify the right side.

Divide $4$ by $4$ .

$y = 1$

y-intercept(s) in point form.

y-intercept(s): $(0, 1)$

Step 3

List the intersections.

x-intercept(s): $(- 4, 0)$

y-intercept(s): $(0, 1)$

Step 4

Find the x and y Intercepts -x+4y=4

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