Question

find the x-intercept of each line defined below and compare their values.
equation of line a:
$y + 1 = -(x - 8)$
select values from line b:

x	y
-2	1
-1	0
0	-1
1	-2

answer attempt 1 out of 2
the x-intercept of line a is \boxed{} and the x-intercept of line b is \boxed{}. therefore the x-intercept of line a is \underline{\hspace{1cm}} the x-intercept of line b.

Explanation:

Step1: Find x-intercept of Line A

To find the x-intercept, set \( y = 0 \) in the equation of Line A: \( y + 1 = -(x - 8) \).
Substitute \( y = 0 \): \( 0 + 1 = -(x - 8) \)
Simplify: \( 1 = -x + 8 \)
Subtract 8 from both sides: \( 1 - 8 = -x \)
\( -7 = -x \)
Multiply both sides by -1: \( x = 7 \)

Step2: Find x-intercept of Line B

The x-intercept occurs where \( y = 0 \). From the table of Line B, when \( y = 0 \), \( x = -1 \).

Step3: Compare the x-intercepts

Line A's x-intercept is 7, Line B's is -1. Since \( 7 > -1 \), Line A's x-intercept is greater than Line B's.

Answer:

The \( x \)-intercept of Line A is \( 7 \) and the \( x \)-intercept of Line B is \( -1 \). Therefore the \( x \)-intercept of Line A is greater than the \( x \)-intercept of Line B.