Find the x and y Intercepts 5x-4y=18

$5 x - 4 y = 18$

Find the x-intercepts.

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

$5 x - 4 \cdot 0 = 18$

Solve the equation.

Simplify $5 x - 4 \cdot 0$ .

Multiply $- 4$ by $0$ .

$5 x + 0 = 18$

Add $5 x$ and $0$ .

$5 x = 18$

Divide each term in $5 x = 18$ by $5$ and simplify.

Divide each term in $5 x = 18$ by $5$ .

$\frac{5 x}{5} = \frac{18}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{18}{5}$

Divide $x$ by $1$ .

$x = \frac{18}{5}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{18}{5}, 0)$

Find the y-intercepts.

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

$5 (0) - 4 y = 18$

Solve the equation.

Simplify $5 (0) - 4 y$ .

Multiply $5$ by $0$ .

$0 - 4 y = 18$

Subtract $4 y$ from $0$ .

$- 4 y = 18$

Divide each term in $- 4 y = 18$ by $- 4$ and simplify.

Divide each term in $- 4 y = 18$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{18}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{18}{- 4}$

Divide $y$ by $1$ .

$y = \frac{18}{- 4}$

Simplify the right side.

Cancel the common factor of $18$ and $- 4$ .

Factor $2$ out of $18$ .

$y = \frac{2 (9)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 9}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 9}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{9}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{9}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{9}{2})$

List the intersections.

x-intercept(s): $(\frac{18}{5}, 0)$

y-intercept(s): $(0, - \frac{9}{2})$

Find the x and y Intercepts 5x-4y=18

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