Find the x and y Intercepts 5x-7y=-35

$5 x - 7 y = - 35$

Step 1

Find the x-intercepts.

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

$5 x - 7 \cdot 0 = - 35$

Solve the equation.

Simplify $5 x - 7 \cdot 0$ .

Multiply $- 7$ by $0$ .

$5 x + 0 = - 35$

Add $5 x$ and $0$ .

$5 x = - 35$

Divide each term in $5 x = - 35$ by $5$ and simplify.

Divide each term in $5 x = - 35$ by $5$ .

$\frac{5 x}{5} = \frac{- 35}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 35}{5}$

Divide $x$ by $1$ .

$x = \frac{- 35}{5}$

Simplify the right side.

Divide $- 35$ by $5$ .

$x = - 7$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$5 (0) - 7 y = - 35$

Solve the equation.

Simplify $5 (0) - 7 y$ .

Multiply $5$ by $0$ .

$0 - 7 y = - 35$

Subtract $7 y$ from $0$ .

$- 7 y = - 35$

Divide each term in $- 7 y = - 35$ by $- 7$ and simplify.

Divide each term in $- 7 y = - 35$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{- 35}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{- 35}{- 7}$

Divide $y$ by $1$ .

$y = \frac{- 35}{- 7}$

Simplify the right side.

Divide $- 35$ by $- 7$ .

$y = 5$

y-intercept(s) in point form.

y-intercept(s): $(0, 5)$

Step 3

List the intersections.

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

y-intercept(s): $(0, 5)$

Step 4

Find the x and y Intercepts 5x-7y=-35

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