Find the x and y Intercepts 2y+4x+10

$2 y + 4 x + 10$

Step 1

Write $2 y + 4 x + 10$ as an equation.

$2 y + 4 x + 10 = 0$

Step 2

Find the x-intercepts.

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

$2 (0) + 4 x + 10 = 0$

Solve the equation.

Simplify $2 (0) + 4 x + 10$ .

Multiply $2$ by $0$ .

$0 + 4 x + 10 = 0$

Add $0$ and $4 x$ .

$4 x + 10 = 0$

Subtract $10$ from both sides of the equation.

$4 x = - 10$

Divide each term in $4 x = - 10$ by $4$ and simplify.

Divide each term in $4 x = - 10$ by $4$ .

$\frac{4 x}{4} = \frac{- 10}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 10}{4}$

Divide $x$ by $1$ .

$x = \frac{- 10}{4}$

Simplify the right side.

Cancel the common factor of $- 10$ and $4$ .

Factor $2$ out of $- 10$ .

$x = \frac{2 (- 5)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x = \frac{2 \cdot - 5}{2 \cdot 2}$

Cancel the common factor.

$x = \frac{2 \cdot - 5}{2 \cdot 2}$

Rewrite the expression.

$x = \frac{- 5}{2}$

Move the negative in front of the fraction.

$x = - \frac{5}{2}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{5}{2}, 0)$

Step 3

Find the y-intercepts.

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

$2 y + 4 (0) + 10 = 0$

Solve the equation.

Simplify $2 y + 4 (0) + 10$ .

Multiply $4$ by $0$ .

$2 y + 0 + 10 = 0$

Add $2 y$ and $0$ .

$2 y + 10 = 0$

Subtract $10$ from both sides of the equation.

$2 y = - 10$

Divide each term in $2 y = - 10$ by $2$ and simplify.

Divide each term in $2 y = - 10$ by $2$ .

$\frac{2 y}{2} = \frac{- 10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 10}{2}$

Divide $y$ by $1$ .

$y = \frac{- 10}{2}$

Simplify the right side.

Divide $- 10$ by $2$ .

$y = - 5$

y-intercept(s) in point form.

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

Step 4

List the intersections.

x-intercept(s): $(- \frac{5}{2}, 0)$

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

Step 5

Find the x and y Intercepts 2y+4x+10

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