Answer: 3
Step-by-step explanation:
The linear function f(x) passes through (0, 5) and (2, 7). Choose a point and find the slope. Then input the point and slope into the Point-Slope formula. Then solve for "y", which puts it in the slope-intercept form (y = mx + b)
slope (m) = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{7-5}{2-0}[/tex]
= [tex]\frac{2}{2}[/tex]
= 1
Point-Slope:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
↓
y-intercept = 5
*****************************************************
x | g(x)
-1 | 2/5
2 | 50
3 | 250
y = 2(5)ˣ
y = 2(5)⁰
= 2(1)
= 2
y-intercept = 2
*******************************************************
The difference between the y-intercepts of f(x) and g(x) is 5 - 2 = 3
