Find the x and y Intercepts 6x+4y=24

$6 x + 4 y = 24$

Step 1

Find the x-intercepts.

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

$6 x + 4 (0) = 24$

Solve the equation.

Simplify $6 x + 4 (0)$ .

Multiply $4$ by $0$ .

$6 x + 0 = 24$

Add $6 x$ and $0$ .

$6 x = 24$

Divide each term in $6 x = 24$ by $6$ and simplify.

Divide each term in $6 x = 24$ by $6$ .

$\frac{6 x}{6} = \frac{24}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{24}{6}$

Divide $x$ by $1$ .

$x = \frac{24}{6}$

Simplify the right side.

Divide $24$ by $6$ .

$x = 4$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$6 (0) + 4 y = 24$

Solve the equation.

Simplify $6 (0) + 4 y$ .

Multiply $6$ by $0$ .

$0 + 4 y = 24$

Add $0$ and $4 y$ .

$4 y = 24$

Divide each term in $4 y = 24$ by $4$ and simplify.

Divide each term in $4 y = 24$ by $4$ .

$\frac{4 y}{4} = \frac{24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{24}{4}$

Divide $y$ by $1$ .

$y = \frac{24}{4}$

Simplify the right side.

Divide $24$ by $4$ .

$y = 6$

y-intercept(s) in point form.

y-intercept(s): $(0, 6)$

Step 3

List the intersections.

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

y-intercept(s): $(0, 6)$

Step 4

Find the x and y Intercepts 6x+4y=24

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