Find the x and y Intercepts y=4/3x+2

$y = \frac{4}{3} x + 2$

Find the x-intercepts.

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

$0 = \frac{4}{3} x + 2$

Solve the equation.

Rewrite the equation as $\frac{4}{3} x + 2 = 0$ .

$\frac{4}{3} x + 2 = 0$

Combine $\frac{4}{3}$ and $x$ .

$\frac{4 x}{3} + 2 = 0$

Subtract $2$ from both sides of the equation.

$\frac{4 x}{3} = - 2$

Multiply both sides of the equation by $\frac{3}{4}$ .

$\frac{3}{4} \cdot \frac{4 x}{3} = \frac{3}{4} \cdot - 2$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{4} \cdot \frac{4 x}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 x}{3} = \frac{3}{4} \cdot - 2$

Rewrite the expression.

$\frac{1}{4} (4 x) = \frac{3}{4} \cdot - 2$

Cancel the common factor of $4$ .

Factor $4$ out of $4 x$ .

$\frac{1}{4} (4 (x)) = \frac{3}{4} \cdot - 2$

Cancel the common factor.

$\frac{1}{4} (4 x) = \frac{3}{4} \cdot - 2$

Rewrite the expression.

$x = \frac{3}{4} \cdot - 2$

Simplify the right side.

Simplify $\frac{3}{4} \cdot - 2$ .

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$x = \frac{3}{2 (2)} \cdot - 2$

Factor $2$ out of $- 2$ .

$x = \frac{3}{2 \cdot 2} \cdot (2 \cdot - 1)$

Cancel the common factor.

$x = \frac{3}{2 \cdot 2} \cdot (2 \cdot - 1)$

Rewrite the expression.

$x = \frac{3}{2} \cdot - 1$

Combine $\frac{3}{2}$ and $- 1$ .

$x = \frac{3 \cdot - 1}{2}$

Simplify the expression.

Multiply $3$ by $- 1$ .

$x = \frac{- 3}{2}$

Move the negative in front of the fraction.

$x = - \frac{3}{2}$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$y = \frac{4}{3} \cdot (0) + 2$

Solve the equation.

Multiply $\frac{4}{3}$ by $0$ .

$y = \frac{4}{3} \cdot 0 + 2$

Remove parentheses.

$y = \frac{4}{3} \cdot (0) + 2$

Simplify $\frac{4}{3} \cdot (0) + 2$ .

Multiply $\frac{4}{3}$ by $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

y-intercept(s) in point form.

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

List the intersections.

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

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

Find the x and y Intercepts y=4/3x+2

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