Find the x and y Intercepts 2X-4Y=3

$2 X - 4 Y = 3$

Find the x-intercepts.

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

$2 X - 4 \cdot 0 = 3$

Solve the equation.

Simplify $2 X - 4 \cdot 0$ .

Multiply $- 4$ by $0$ .

$2 X + 0 = 3$

Add $2 X$ and $0$ .

$2 X = 3$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $X$ by $1$ .

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

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 $Y$ .

$2 (0) - 4 Y = 3$

Solve the equation.

Simplify $2 (0) - 4 Y$ .

Multiply $2$ by $0$ .

$0 - 4 Y = 3$

Subtract $4 Y$ from $0$ .

$- 4 Y = 3$

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

Divide each term in $- 4 Y = 3$ by $- 4$ .

$\frac{- 4 Y}{- 4} = \frac{3}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 Y}{- 4} = \frac{3}{- 4}$

Divide $Y$ by $1$ .

$Y = \frac{3}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$Y = - \frac{3}{4}$

y-intercept(s) in point form.

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

List the intersections.

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

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

Find the x and y Intercepts 2X-4Y=3

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