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

Question

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).

I've asked several people to help me with it.. it's simple math from algebra 2/ trig.. but i can't figure it out!!

Answer 1

The zero of the linear function means that the line crosses the x-axis at 3.  The intersection at the y-axis is -2.  If you count up (on a coordinate plane) to the origin and then over 3 spaces (to the x-intercept) you can determine the slope as 2/3.  Since you know that the y-intercept is -2, you have all you need to write an equation.  You can start with slope-intercept form (y = mx + b ; where m is the slope and b is the y-intercept).  Therefore your equation would be y=2/3x - 2.