The function f(x) has a slope of 2, the function g(x) has a slope of 3
The y-intercept of the function f(x) is greater than the y-intercept of function g(x)
How to compare the functions
Information given in the question include
a linear function graph and equation
The equation graphed is written in the slope intercept form s below
y = mx + c
where
m = slope
x = intercept
comparing with the f(x) = 2x + 5
m = 2 and c = 5
the slope, for the table is calculated using the points on the graph (0, 4) and (2, 10)
m = (y₀ - y₁) / (x₀ - x₁)
m = (4 - 10) / (0 - 2)
m = (-6) / (-2)
m = 3
c = y-intercept, from the table is (0, 4)
c = 4
The equation of the line is y = 4x - 6
Using point (1, 6) and the point - slope formula we solve for b
y - 6 = m (x - 1), m = 4
y - 6 = 4x - 4
y = 4x + 2