To find the value of x that gives y = 6, we can set the equation y = 6 equal to the given equation and solve for x.
Using the equation of the line passing through the points (0, -4) and (2, 0), we can find the equation in slope-intercept form (y = mx + b):
m = (0 - (-4))/(2 - 0) = 4/2 = 2
Using the point-slope form of a line (y - y1 = m(x - x1)), we can substitute the values of (x1, y1) = (0, -4):
y - (-4) = 2(x - 0)
y + 4 = 2x
Now we can set y = 6 and solve for x:
6 + 4 = 2x
10 = 2x
x = 5
Therefore, the value of x that gives y = 6 for the line passing through the points (0, -4) and (2, 0) is x = 5.