Find the x and y Intercepts 4x+2y=1

$4 x + 2 y = 1$

Step 1

Find the x-intercepts.

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

$4 x + 2 (0) = 1$

Solve the equation.

Simplify $4 x + 2 (0)$ .

Multiply $2$ by $0$ .

$4 x + 0 = 1$

Add $4 x$ and $0$ .

$4 x = 1$

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

Divide each term in $4 x = 1$ by $4$ .

$\frac{4 x}{4} = \frac{1}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{1}{4}$

Divide $x$ by $1$ .

$x = \frac{1}{4}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{1}{4}, 0)$

Step 2

Find the y-intercepts.

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

$4 (0) + 2 y = 1$

Solve the equation.

Simplify $4 (0) + 2 y$ .

Multiply $4$ by $0$ .

$0 + 2 y = 1$

Add $0$ and $2 y$ .

$2 y = 1$

Divide each term in $2 y = 1$ by $2$ and simplify.

Divide each term in $2 y = 1$ by $2$ .

$\frac{2 y}{2} = \frac{1}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{1}{2}$

Divide $y$ by $1$ .

$y = \frac{1}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{1}{2})$

Step 3

List the intersections.

x-intercept(s): $(\frac{1}{4}, 0)$

y-intercept(s): $(0, \frac{1}{2})$

Step 4

Find the x and y Intercepts 4x+2y=1

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