The linear function f(x) passes through the points (0, 5) and (2, 7) . a few values from the exponential function g(x) are shown in the table. x g(x) −1 25 2 50 3 250 what is the positive difference in the y-intercept value of f(x) and g(x) ? enter your answer in the box.

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) =

                =

                =

                = 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