Find the x and y Intercepts 5x-2y=18

$5 x - 2 y = 18$

Step 1

Find the x-intercepts.

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

$5 x - 2 \cdot 0 = 18$

Solve the equation.

Simplify $5 x - 2 \cdot 0$ .

Multiply $- 2$ 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): $(\frac{18}{5}, 0)$

Step 2

Find the y-intercepts.

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

$5 (0) - 2 y = 18$

Solve the equation.

Simplify $5 (0) - 2 y$ .

Multiply $5$ by $0$ .

$0 - 2 y = 18$

Subtract $2 y$ from $0$ .

$- 2 y = 18$

Divide each term in $- 2 y = 18$ by $- 2$ and simplify.

Divide each term in $- 2 y = 18$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{18}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{18}{- 2}$

Divide $y$ by $1$ .

$y = \frac{18}{- 2}$

Simplify the right side.

Divide $18$ by $- 2$ .

$y = - 9$

y-intercept(s) in point form.

y-intercept(s): $(0, - 9)$

Step 3

List the intersections.

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

y-intercept(s): $(0, - 9)$

Step 4

Find the x and y Intercepts 5x-2y=18

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