Find the x and y Intercepts -1/2x+y=-4

$- \frac{1}{2} x + y = - 4$

Step 1

Find the x-intercepts.

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

$- \frac{1}{2} x + 0 = - 4$

Solve the equation.

Simplify $- \frac{1}{2} x + 0$ .

Add $- \frac{1}{2} x$ and $0$ .

$- \frac{1}{2} x = - 4$

Combine $x$ and $\frac{1}{2}$ .

$- \frac{x}{2} = - 4$

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{x}{2}) = - 2 \cdot - 4$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{x}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$- 2 \frac{- x}{2} = - 2 \cdot - 4$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- x}{2} = - 2 \cdot - 4$

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 \cdot - 4$

Rewrite the expression.

$- - x = - 2 \cdot - 4$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 2 \cdot - 4$

Multiply $x$ by $1$ .

$x = - 2 \cdot - 4$

Simplify the right side.

Multiply $- 2$ by $- 4$ .

$x = 8$

x-intercept(s) in point form.

x-intercept(s): $(8, 0)$

Step 2

Find the y-intercepts.

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

$- \frac{1}{2} \cdot 0 + y = - 4$

Simplify $- \frac{1}{2} \cdot 0 + y$ .

Multiply $- \frac{1}{2} \cdot 0$ .

Multiply $0$ by $- 1$ .

$0 (\frac{1}{2}) + y = - 4$

Multiply $0$ by $\frac{1}{2}$ .

$0 + y = - 4$

Add $0$ and $y$ .

$y = - 4$

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(8, 0)$

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

Step 4

Find the x and y Intercepts -1/2x+y=-4

Related Questions

Support LCMGCF.com by disabling your adblocker.