Find the x and y Intercepts -4x+3y=-3.6

$- 4 x + 3 y = - 3.6$

Step 1

Find the x-intercepts.

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

$- 4 x + 3 (0) = - 3.6$

Solve the equation.

Simplify $- 4 x + 3 (0)$ .

Multiply $3$ by $0$ .

$- 4 x + 0 = - 3.6$

Add $- 4 x$ and $0$ .

$- 4 x = - 3.6$

Divide each term in $- 4 x = - 3.6$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 3.6$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 3.6}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 3.6}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 3.6}{- 4}$

Simplify the right side.

Divide $- 3.6$ by $- 4$ .

$x = 0.9$

x-intercept(s) in point form.

x-intercept(s): $(0.9, 0)$

Step 2

Find the y-intercepts.

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

$- 4 \cdot 0 + 3 y = - 3.6$

Solve the equation.

Simplify $- 4 \cdot 0 + 3 y$ .

Multiply $- 4$ by $0$ .

$0 + 3 y = - 3.6$

Add $0$ and $3 y$ .

$3 y = - 3.6$

Divide each term in $3 y = - 3.6$ by $3$ and simplify.

Divide each term in $3 y = - 3.6$ by $3$ .

$\frac{3 y}{3} = \frac{- 3.6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 3.6}{3}$

Divide $y$ by $1$ .

$y = \frac{- 3.6}{3}$

Simplify the right side.

Divide $- 3.6$ by $3$ .

$y = - 1.2$

y-intercept(s) in point form.

y-intercept(s): $(0, - 1.2)$

Step 3

List the intersections.

x-intercept(s): $(0.9, 0)$

y-intercept(s): $(0, - 1.2)$

Step 4

Find the x and y Intercepts -4x+3y=-3.6

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