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

$3 x - y = 4$

Find the x-intercepts.

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

$3 x - (0) = 4$

Solve the equation.

Subtract $0$ from $3 x$ .

$3 x = 4$

Divide each term in $3 x = 4$ by $3$ and simplify.

Divide each term in $3 x = 4$ by $3$ .

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

x-intercept(s) in point form.

x-intercept(s): $(\frac{4}{3}, 0)$

Find the y-intercepts.

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

$3 (0) - y = 4$

Solve the equation.

Simplify $3 (0) - y$ .

Multiply $3$ by $0$ .

$0 - y = 4$

Subtract $y$ from $0$ .

$- y = 4$

Divide each term in $- y = 4$ by $- 1$ and simplify.

Divide each term in $- y = 4$ by $- 1$ .

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $4$ by $- 1$ .

$y = - 4$

y-intercept(s) in point form.

y-intercept(s): $(0, - 4)$

List the intersections.

x-intercept(s): $(\frac{4}{3}, 0)$

y-intercept(s): $(0, - 4)$