Find the x and y Intercepts -10x-6y=120

$- 10 x - 6 y = 120$

Step 1

Find the x-intercepts.

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

$- 10 x - 6 \cdot 0 = 120$

Solve the equation.

Simplify $- 10 x - 6 \cdot 0$ .

Multiply $- 6$ by $0$ .

$- 10 x + 0 = 120$

Add $- 10 x$ and $0$ .

$- 10 x = 120$

Divide each term in $- 10 x = 120$ by $- 10$ and simplify.

Divide each term in $- 10 x = 120$ by $- 10$ .

$\frac{- 10 x}{- 10} = \frac{120}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 x}{- 10} = \frac{120}{- 10}$

Divide $x$ by $1$ .

$x = \frac{120}{- 10}$

Simplify the right side.

Divide $120$ by $- 10$ .

$x = - 12$

x-intercept(s) in point form.

x-intercept(s): $(- 12, 0)$

Step 2

Find the y-intercepts.

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

$- 10 \cdot 0 - 6 y = 120$

Solve the equation.

Simplify $- 10 \cdot 0 - 6 y$ .

Multiply $- 10$ by $0$ .

$0 - 6 y = 120$

Subtract $6 y$ from $0$ .

$- 6 y = 120$

Divide each term in $- 6 y = 120$ by $- 6$ and simplify.

Divide each term in $- 6 y = 120$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{120}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{120}{- 6}$

Divide $y$ by $1$ .

$y = \frac{120}{- 6}$

Simplify the right side.

Divide $120$ by $- 6$ .

$y = - 20$

y-intercept(s) in point form.

y-intercept(s): $(0, - 20)$

Step 3

List the intersections.

x-intercept(s): $(- 12, 0)$

y-intercept(s): $(0, - 20)$

Step 4

Find the x and y Intercepts -10x-6y=120

Related Questions

Support LCMGCF.com by disabling your adblocker.