```Question 214449
1. when you are given 2 coordinates you can find the slope by using this formula &#10132;                           slope(m) =    y2-y1/x2-x1

so you get   -8-3/5+2       = -11/7 &#8592;thats your slope

2. since both the Y's are the same it tells you that it is a horizontal line there is no slope so the equation is  y=-2

3. first we put the equation to the y= format. so....x+3y=6   turns into  3y=-x+6

the next step is to   get rid of the 3y (to get rid of the 3y you must divide everything else by 3.)                                                     which gives you    y= -1/3x+3

but thats not your answer, they are asking to find a line that's perpendicular to this one. to find the perpendicular line you change the slope to its opposite/reciprocal. which in this case would be 3. now its wants the line to pass through (-3,5) we wil use this to find our b. (point slope formula is y= mx+b). The formula  to find b is..... b = y1 - mx1         (y1 and x1 are the coordinates and m is your slope)
(remember the subtraction sign means the opposite of that number) ok so lets solve for b.
b= 5-3(-3)   this equals 14. now we have the final answer y=3x+14

hope that wasn't too confusing!```