To determine the $x -$ intercept for the given equation, we will substitute $0$ for $y$ and solve for $x .$ To determine the $y -$ intercept, we will substitute $0$ for $x$ and solve for $y .$

Finding the $x -$ intercept

Think of the point where the graph of an equation crosses the

x -

axis. The

y -

value of that

(x, y)

coordinate pair is equal to

0,

and the

x -

value is the

x -

intercept. Consider the given equation.

- 6 x - 8 y = 24

Let's substitute

0

for

y

and solve for

x .

- 6 x - 8 y = 24

Substitute

$y = 0$

- 6 x - 8 (0) = 24

ZeroPropMult

Zero Property of Multiplication

- 6 x = 24

DivEqn

$LHS / - 6 = RHS / - 6$

x = - 4

The

x -

intercept of the equation is

- 4 .

Finding the $y -$ intercept

In the same way as above, now consider the point where the graph of the equation crosses the

y -

axis. The

x -

value of the

(x, y)

coordinate pair at the

y -

intercept is

0 .

Therefore, substituting

0

for

x

will give us the

y -

intercept.

- 6 x - 8 y = 24

Substitute

$x = 0$

- 6 (0) - 8 y = 24

ZeroPropMult

Zero Property of Multiplication

- 8 y = 24

DivEqn

$LHS / - 8 = RHS / - 8$

y = - 3

The

y -

intercept of the equation is

- 3 .

Finding the x-intercept

Finding the y-intercept

Finding the $x -$ intercept

Finding the $y -$ intercept

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