Find the x and y Intercepts 3x-7y=21

$3 x - 7 y = 21$

Step 1

Find the x-intercepts.

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

$3 x - 7 \cdot 0 = 21$

Solve the equation.

Simplify $3 x - 7 \cdot 0$ .

Multiply $- 7$ by $0$ .

$3 x + 0 = 21$

Add $3 x$ and $0$ .

$3 x = 21$

Divide each term in $3 x = 21$ by $3$ and simplify.

Divide each term in $3 x = 21$ by $3$ .

$\frac{3 x}{3} = \frac{21}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{21}{3}$

Divide $x$ by $1$ .

$x = \frac{21}{3}$

Simplify the right side.

Divide $21$ by $3$ .

$x = 7$

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 $y$ .

$3 (0) - 7 y = 21$

Solve the equation.

Simplify $3 (0) - 7 y$ .

Multiply $3$ by $0$ .

$0 - 7 y = 21$

Subtract $7 y$ from $0$ .

$- 7 y = 21$

Divide each term in $- 7 y = 21$ by $- 7$ and simplify.

Divide each term in $- 7 y = 21$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{21}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{21}{- 7}$

Divide $y$ by $1$ .

$y = \frac{21}{- 7}$

Simplify the right side.

Divide $21$ by $- 7$ .

$y = - 3$

y-intercept(s) in point form.

y-intercept(s): $(0, - 3)$

Step 3

List the intersections.

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

y-intercept(s): $(0, - 3)$

Step 4

Find the x and y Intercepts 3x-7y=21

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