Find the x and y Intercepts 7x+4y=14

$7 x + 4 y = 14$

Step 1

Find the x-intercepts.

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

$7 x + 4 (0) = 14$

Solve the equation.

Simplify $7 x + 4 (0)$ .

Multiply $4$ by $0$ .

$7 x + 0 = 14$

Add $7 x$ and $0$ .

$7 x = 14$

Divide each term in $7 x = 14$ by $7$ and simplify.

Divide each term in $7 x = 14$ by $7$ .

$\frac{7 x}{7} = \frac{14}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{14}{7}$

Divide $x$ by $1$ .

$x = \frac{14}{7}$

Simplify the right side.

Divide $14$ by $7$ .

$x = 2$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$7 (0) + 4 y = 14$

Solve the equation.

Simplify $7 (0) + 4 y$ .

Multiply $7$ by $0$ .

$0 + 4 y = 14$

Add $0$ and $4 y$ .

$4 y = 14$

Divide each term in $4 y = 14$ by $4$ and simplify.

Divide each term in $4 y = 14$ by $4$ .

$\frac{4 y}{4} = \frac{14}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{14}{4}$

Divide $y$ by $1$ .

$y = \frac{14}{4}$

Simplify the right side.

Cancel the common factor of $14$ and $4$ .

Factor $2$ out of $14$ .

$y = \frac{2 (7)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$y = \frac{2 \cdot 7}{2 \cdot 2}$

Cancel the common factor.

$y = \frac{2 \cdot 7}{2 \cdot 2}$

Rewrite the expression.

$y = \frac{7}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{7}{2})$

Step 3

List the intersections.

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

y-intercept(s): $(0, \frac{7}{2})$

Step 4

Find the x and y Intercepts 7x+4y=14

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