Find the x and y Intercepts 7x+6y=-42

$7 x + 6 y = - 42$

Step 1

Find the x-intercepts.

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

$7 x + 6 (0) = - 42$

Solve the equation.

Simplify $7 x + 6 (0)$ .

Multiply $6$ by $0$ .

$7 x + 0 = - 42$

Add $7 x$ and $0$ .

$7 x = - 42$

Divide each term in $7 x = - 42$ by $7$ and simplify.

Divide each term in $7 x = - 42$ by $7$ .

$\frac{7 x}{7} = \frac{- 42}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 42}{7}$

Divide $x$ by $1$ .

$x = \frac{- 42}{7}$

Simplify the right side.

Divide $- 42$ by $7$ .

$x = - 6$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$7 (0) + 6 y = - 42$

Solve the equation.

Simplify $7 (0) + 6 y$ .

Multiply $7$ by $0$ .

$0 + 6 y = - 42$

Add $0$ and $6 y$ .

$6 y = - 42$

Divide each term in $6 y = - 42$ by $6$ and simplify.

Divide each term in $6 y = - 42$ by $6$ .

$\frac{6 y}{6} = \frac{- 42}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{- 42}{6}$

Divide $y$ by $1$ .

$y = \frac{- 42}{6}$

Simplify the right side.

Divide $- 42$ by $6$ .

$y = - 7$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4

Find the x and y Intercepts 7x+6y=-42

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