Find the x and y Intercepts -5x-4y=10

$- 5 x - 4 y = 10$

Step 1

Find the x-intercepts.

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

$- 5 x - 4 \cdot 0 = 10$

Solve the equation.

Simplify $- 5 x - 4 \cdot 0$ .

Multiply $- 4$ by $0$ .

$- 5 x + 0 = 10$

Add $- 5 x$ and $0$ .

$- 5 x = 10$

Divide each term in $- 5 x = 10$ by $- 5$ and simplify.

Divide each term in $- 5 x = 10$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{10}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{10}{- 5}$

Divide $x$ by $1$ .

$x = \frac{10}{- 5}$

Simplify the right side.

Divide $10$ by $- 5$ .

$x = - 2$

x-intercept(s) in point form.

x-intercept(s): $(- 2, 0)$

Step 2

Find the y-intercepts.

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

$- 5 \cdot 0 - 4 y = 10$

Solve the equation.

Simplify $- 5 \cdot 0 - 4 y$ .

Multiply $- 5$ by $0$ .

$0 - 4 y = 10$

Subtract $4 y$ from $0$ .

$- 4 y = 10$

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

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

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

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

Factor $2$ out of $10$ .

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

Cancel the common factors.

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(- 2, 0)$

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

Step 4

Find the x and y Intercepts -5x-4y=10

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