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

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

Step 1

Find the x-intercepts.

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

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

Solve the equation.

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

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

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

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

Add $2$ to both sides of the equation.

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

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

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

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Multiply $\frac{4}{3} \cdot 2$ .

Combine $\frac{4}{3}$ and $2$ .

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

Multiply $4$ by $2$ .

$x = \frac{8}{3}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{8}{3}, 0)$

Step 2

Find the y-intercepts.

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

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

Solve the equation.

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

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

Remove parentheses.

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

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

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

$y = 0 - 2$

Subtract $2$ from $0$ .

$y = - 2$

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(\frac{8}{3}, 0)$

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

Step 4

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

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