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

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Algebra

$- x + 4 y = 4$

Find the x-intercepts.

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

$- x + 4 (0) = 4$

Solve the equation.

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Simplify $- x + 4 (0)$ .

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Multiply $4$ by $0$ .

$- x + 0 = 4$

Add $- x$ and $0$ .

$- x = 4$

Multiply each term in $- x = 4$ by $- 1$

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

$(- x) \cdot - 1 = 4 \cdot - 1$

Multiply $(- x) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 x = 4 \cdot - 1$

Multiply $x$ by $1$ .

$x = 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$x = - 4$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$- (0) + 4 y = 4$

Solve the equation.

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Simplify $- (0) + 4 y$ .

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Multiply $- 1$ by $0$ .

$0 + 4 y = 4$

Add $0$ and $4 y$ .

$4 y = 4$

Divide each term by $4$ and simplify.

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

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

Cancel the common factor of $4$ .

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Cancel the common factor.

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

Divide $y$ by $1$ .

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

Divide $4$ by $4$ .

$y = 1$

y-intercept(s) in point form.

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

List the intersections.

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

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

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