The zero of the linear function S is 3. The graph of this function intersects the vertical axis at S (x) = - 2. Find an equation for S (x)

An equation of the linear function in the slope-intercept form is:

y = m x + b

If the graph intersects the vertical axis at : S (x) = - 2

b = - 2

y = m x - 2

The zero of the function is: x = 3

0 = 3 x - 2

- 3 x = - 2

x = ( - 2) : ( - 3) = 2/3

Answer:

S (x) = 2/3 x - 2