Find the x and y Intercepts 8x-5y=-11

$8 x - 5 y = - 11$

Step 1

Find the x-intercepts.

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

$8 x - 5 \cdot 0 = - 11$

Solve the equation.

Simplify $8 x - 5 \cdot 0$ .

Multiply $- 5$ by $0$ .

$8 x + 0 = - 11$

Add $8 x$ and $0$ .

$8 x = - 11$

Divide each term in $8 x = - 11$ by $8$ and simplify.

Divide each term in $8 x = - 11$ by $8$ .

$\frac{8 x}{8} = \frac{- 11}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 11}{8}$

Divide $x$ by $1$ .

$x = \frac{- 11}{8}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{11}{8}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{11}{8}, 0)$

Step 2

Find the y-intercepts.

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

$8 (0) - 5 y = - 11$

Solve the equation.

Simplify $8 (0) - 5 y$ .

Multiply $8$ by $0$ .

$0 - 5 y = - 11$

Subtract $5 y$ from $0$ .

$- 5 y = - 11$

Divide each term in $- 5 y = - 11$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 11$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 11}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 11}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 11}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{11}{5}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{11}{5})$

Step 3

List the intersections.

x-intercept(s): $(- \frac{11}{8}, 0)$

y-intercept(s): $(0, \frac{11}{5})$

Step 4

Find the x and y Intercepts 8x-5y=-11

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