Respuesta :
Answer:
x = - 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, thus
y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
The x- intercept has a y- coordinate of zero.
Substitute y = 0 into the equation and solve for x
- [tex]\frac{1}{2}[/tex] x - 2 = 0
Multiply through by 2 to clear the fraction
- x - 4 = 0 ( add 4 to both sides )
- x = 4 ( multiply both sides by - 1 )
x = - 4
Thus the x- intercept is - 4
