the equation of a line in the "slope-intercept" form is

y = mx + b

where "m" is the slope and "b" gives the y-intercept

in our case we have m = 1/2 and b = -4 thus the equation of the line is

y = (1/2)x - 4

we need to find the x intercept for y = 0

(1/2)x - 4 = 0

by solving we find the x-intercept

x = 8

click here to see the step by step solution of the equation

the x-intercept is 8.

we can also find the x intercept by drawing the graph of the line

click here to see the graph