Find the slope-intercept form of the line that satisfies the given conditions (9,0) and (-3,2)

y = (-1/6)x + 3/2

Step-by-step explanation:

1. FIND SLOPE:

formula to find slope given 2 points

   y2 - y1    

  x2 - x1

substitute the points we were given

  2 - 0    

  -3 - 9

finally, simplify.

  2          =     -2        =       -1       this is the slope

  -12                12                 6

2. FIND Y-INTERCEPT:

Lastly, we have to figure out the y-intercept.

To do this, plug in our slope and either one of the points to y = mx+b.

(2) = (-1/6)(-3) + b          

now, just solve for b, the y-intercept.

(2) = (1/2) + b  

b = 3/2

now plug in both the slope and y-intercept that we found. that's it.

slope-intercept form is y = mx + b, where m=slope and b=y-int.

y = (-1/6)x + 3/2