Find the x and y Intercepts 3x-5y=-20

$3 x - 5 y = - 20$

Step 1

Find the x-intercepts.

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

$3 x - 5 \cdot 0 = - 20$

Solve the equation.

Simplify $3 x - 5 \cdot 0$ .

Multiply $- 5$ by $0$ .

$3 x + 0 = - 20$

Add $3 x$ and $0$ .

$3 x = - 20$

Divide each term in $3 x = - 20$ by $3$ and simplify.

Divide each term in $3 x = - 20$ by $3$ .

$\frac{3 x}{3} = \frac{- 20}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 20}{3}$

Divide $x$ by $1$ .

$x = \frac{- 20}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{20}{3}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{20}{3}, 0)$

Step 2

Find the y-intercepts.

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

$3 (0) - 5 y = - 20$

Solve the equation.

Simplify $3 (0) - 5 y$ .

Multiply $3$ by $0$ .

$0 - 5 y = - 20$

Subtract $5 y$ from $0$ .

$- 5 y = - 20$

Divide each term in $- 5 y = - 20$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 20$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 20}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 20}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 20}{- 5}$

Simplify the right side.

Divide $- 20$ by $- 5$ .

$y = 4$

y-intercept(s) in point form.

y-intercept(s): $(0, 4)$

Step 3

List the intersections.

x-intercept(s): $(- \frac{20}{3}, 0)$

y-intercept(s): $(0, 4)$

Step 4

Find the x and y Intercepts 3x-5y=-20

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