Answer:
h(0) = -2
x = 3
Step-by-step explanation:
Line is intersecting x and y axes at points (1, 0) & (0, -2)
Slope of line (m) = (-2 - 0)/(0 - 1) = -2/(-1) = 2
y - intercept (b) = -2
Equation of line in slope-intercept form is given as:
y = mx + b
plugging the values of m and b in the above equation, we find:
y = 2x + (-2)
y = 2x - 2
Replacing y by h(x), we find:
h(x) = 2x - 2 (This is the required function)
Plug x = 0 in the function, this gives:
h(0) = 2(0) - 2
h(0) = 0 - 2
h(0) = -2
Plug h(x) = 4
4 = 2x - 2
4 + 2 = 2x
6 = 2x
x = 6/2
x = 3
