Trigonometry Examples

$x + 3 y - 2 = 0$

Step 1

Find the x-intercepts.

Tap for more steps...

Step 1.1

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

$x + 3 (0) - 2 = 0$

Step 1.2

Solve the equation.

Tap for more steps...

Step 1.2.1

Simplify $x + 3 (0) - 2$ .

Tap for more steps...

Step 1.2.1.1

Multiply $3$ by $0$ .

$x + 0 - 2 = 0$

Step 1.2.1.2

Add $x$ and $0$ .

$x - 2 = 0$

Step 1.2.2

Add $2$ to both sides of the equation.

$x = 2$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(2, 0)$

Step 2

Find the y-intercepts.

Tap for more steps...

Step 2.1

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

$(0) + 3 y - 2 = 0$

Step 2.2

Solve the equation.

Tap for more steps...

Step 2.2.1

Add $0$ and $3 y$ .

$3 y - 2 = 0$

Step 2.2.2

Add $2$ to both sides of the equation.

$3 y = 2$

Step 2.2.3

Divide each term in $3 y = 2$ by $3$ and simplify.

Tap for more steps...

Step 2.2.3.1

Divide each term in $3 y = 2$ by $3$ .

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

Step 2.2.3.2

Simplify the left side.

Tap for more steps...

Step 2.2.3.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.3.2.1.1

Cancel the common factor.

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

Step 2.2.3.2.1.2

Divide $y$ by $1$ .

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

Step 2.3

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(2, 0)$

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

Step 4