Find the x and y Intercepts (x+6)y=9

$(x + 6) y = 9$

Step 1

Find the x-intercepts.

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

$(x + 6) (0) = 9$

Solve the equation.

Multiply $x + 6$ by $0$ .

$0 = 9$

Since $0 \neq 9$ , there are no solutions.

No solution

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

x-intercept(s): $None$

Step 2

Find the y-intercepts.

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

$((0) + 6) \cdot y = 9$

Solve the equation.

Add $0$ and $6$ .

$6 \cdot y = 9$

Divide each term in $(6 \cdot y) = 9$ by $6$ and simplify.

Divide each term in $(6 \cdot y) = 9$ by $6$ .

$\frac{(6 \cdot y)}{6} = \frac{9}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 \cdot y}{6} = \frac{9}{6}$

Divide $y$ by $1$ .

$y = \frac{9}{6}$

Simplify the right side.

Cancel the common factor of $9$ and $6$ .

Factor $3$ out of $9$ .

$y = \frac{3 (3)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$y = \frac{3 \cdot 3}{3 \cdot 2}$

Cancel the common factor.

$y = \frac{3 \cdot 3}{3 \cdot 2}$

Rewrite the expression.

$y = \frac{3}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{3}{2})$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, \frac{3}{2})$

Step 4

Find the x and y Intercepts (x+6)y=9

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