Question

Find the x-intercept of each line defined below

and compare their values.
Equation of Line A:
y2 = (x + 1)
−(x
Select values from Line B:
X
-2
-1
0
y
0
- 3
The x-intercept of Line A is
-6
the x-intercept of Line B is
Therefore the x-intercept of Line A is
and
the x-intercept of Line B.

Answer 1

`\text{The x-intercept of Line A is \boxed{1} and}\\\\\text{the x-intercept of Line B is \boxed{-2}}`

Explanation:

The x-intercept of a line in slope intercept form is the value of x when y = 0

Line A

y - 2 = -(x + 1)

Put y = 0
=> 0 - 2 = -( x + 1)

=> -2 = -x - 1

=> -x - 1 = -2

=> -x = -2 + 1

=> -x = -1

=> x = 1

Line B

Look in the table for y = 0 and find the corresponding x value
We see when y = 0, x = -2

So x-intercept of line B = -2