Find the x and y Intercepts 12y=3+x

$12 y = 3 + x$

Step 1

Find the x-intercepts.

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

$12 (0) = 3 + x$

Solve the equation.

Rewrite the equation as $3 + x = 12 (0)$ .

$3 + x = 12 (0)$

Multiply $12$ by $0$ .

$3 + x = 0$

Subtract $3$ from both sides of the equation.

$x = - 3$

x-intercept(s) in point form.

x-intercept(s): $(- 3, 0)$

Step 2

Find the y-intercepts.

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

$12 y = 3 + 0$

Solve the equation.

Add $3$ and $0$ .

$12 y = 3$

Divide each term in $12 y = 3$ by $12$ and simplify.

Divide each term in $12 y = 3$ by $12$ .

$\frac{12 y}{12} = \frac{3}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 y}{12} = \frac{3}{12}$

Divide $y$ by $1$ .

$y = \frac{3}{12}$

Simplify the right side.

Cancel the common factor of $3$ and $12$ .

Factor $3$ out of $3$ .

$y = \frac{3 (1)}{12}$

Cancel the common factors.

Factor $3$ out of $12$ .

$y = \frac{3 \cdot 1}{3 \cdot 4}$

Cancel the common factor.

$y = \frac{3 \cdot 1}{3 \cdot 4}$

Rewrite the expression.

$y = \frac{1}{4}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{1}{4})$

Step 3

List the intersections.

x-intercept(s): $(- 3, 0)$

y-intercept(s): $(0, \frac{1}{4})$

Step 4

Find the x and y Intercepts 12y=3+x

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