Question

Quick Question. Will fan and medal!

Answer 1

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)

Answer 2

They give you two points on this line.
A zero of the function is where it intersects the X axis, here y=0. so X=3 when y=0
(3 , 0)

Intersects vertical axis, here the X coordinate value is zero. It intersects the y axis at y=-2 and x=0
(0 , -2)

You can put together a line function from 2 points using the point slope equation

y - y1 = m*(x-x1)

using point(3,0) and slope 2/3

y - 0 = (2/3)*( x - 3)

y = (2/3)*x - 2

That is it y = S(x) = (2/3)*x - 2