Find the x and y Intercepts 7x-4y=-28

$7 x - 4 y = - 28$

Step 1

Find the x-intercepts.

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

$7 x - 4 \cdot 0 = - 28$

Solve the equation.

Simplify $7 x - 4 \cdot 0$ .

Multiply $- 4$ by $0$ .

$7 x + 0 = - 28$

Add $7 x$ and $0$ .

$7 x = - 28$

Divide each term in $7 x = - 28$ by $7$ and simplify.

Divide each term in $7 x = - 28$ by $7$ .

$\frac{7 x}{7} = \frac{- 28}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 28}{7}$

Divide $x$ by $1$ .

$x = \frac{- 28}{7}$

Simplify the right side.

Divide $- 28$ by $7$ .

$x = - 4$

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 $y$ .

$7 (0) - 4 y = - 28$

Solve the equation.

Simplify $7 (0) - 4 y$ .

Multiply $7$ by $0$ .

$0 - 4 y = - 28$

Subtract $4 y$ from $0$ .

$- 4 y = - 28$

Divide each term in $- 4 y = - 28$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 28$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 28}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 28}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 28}{- 4}$

Simplify the right side.

Divide $- 28$ by $- 4$ .

$y = 7$

y-intercept(s) in point form.

y-intercept(s): $(0, 7)$

Step 3

List the intersections.

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

y-intercept(s): $(0, 7)$

Step 4

Find the x and y Intercepts 7x-4y=-28

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