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Answer:
x- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] and c = - 2 , then
y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
To find the x- intercept let y = 0
0 = - [tex]\frac{1}{2}[/tex] x - 2 ( add 2 to both sides )
2 = - [tex]\frac{1}{2}[/tex] x ( multiply both sides by - 2 to clear the fraction )
- 4 = x
The x- intercept is - 4