Find the x and y Intercepts -3x-4=-5y-8

$- 3 x - 4 = - 5 y - 8$

Step 1

Find the x-intercepts.

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

$- 3 x - 4 = - 5 \cdot 0 - 8$

Solve the equation.

Simplify $- 5 \cdot 0 - 8$ .

Multiply $- 5$ by $0$ .

$- 3 x - 4 = 0 - 8$

Subtract $8$ from $0$ .

$- 3 x - 4 = - 8$

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

$- 3 x = - 8 + 4$

Add $- 8$ and $4$ .

$- 3 x = - 4$

Divide each term in $- 3 x = - 4$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 4$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 4}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 4}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 4}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{4}{3}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{4}{3}, 0)$

Step 2

Find the y-intercepts.

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

$- 3 \cdot 0 - 4 = - 5 y - 8$

Solve the equation.

Rewrite the equation as $- 5 y - 8 = - 3 \cdot 0 - 4$ .

$- 5 y - 8 = - 3 \cdot 0 - 4$

Simplify $- 3 \cdot 0 - 4$ .

Multiply $- 3$ by $0$ .

$- 5 y - 8 = 0 - 4$

Subtract $4$ from $0$ .

$- 5 y - 8 = - 4$

Move all terms not containing $y$ to the right side of the equation.

Add $8$ to both sides of the equation.

$- 5 y = - 4 + 8$

Add $- 4$ and $8$ .

$- 5 y = 4$

Divide each term in $- 5 y = 4$ by $- 5$ and simplify.

Divide each term in $- 5 y = 4$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{4}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{4}{- 5}$

Divide $y$ by $1$ .

$y = \frac{4}{- 5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{4}{5}$

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{4}{5})$

Step 3

List the intersections.

x-intercept(s): $(\frac{4}{3}, 0)$

y-intercept(s): $(0, - \frac{4}{5})$

Step 4

Find the x and y Intercepts -3x-4=-5y-8

Related Questions

Support LCMGCF.com by disabling your adblocker.