SOLUTION: if the points on a graph are: (3,-1) AND (O,1)what is the slope intercept equation??? i did 1-(-1)/0-3 and got -2/3. my equation so far is y=-2/3x+? how do you know what the slope

Algebra ->  Linear-equations -> SOLUTION: if the points on a graph are: (3,-1) AND (O,1)what is the slope intercept equation??? i did 1-(-1)/0-3 and got -2/3. my equation so far is y=-2/3x+? how do you know what the slope       Log On


   

Question 58321This question is from textbook
: if the points on a graph are: (3,-1) AND (O,1)what is the slope intercept equation??? i did 1-(-1)/0-3 and got -2/3. my equation so far is y=-2/3x+? how do you know what the slope is?? am i right so far?? This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
All you need are some definitions.
slope = (change in y) / (change in x)
y = mx + b is the slope intercept formula
m = slope
b = y-intercept (what y is when x = 0)
If you are given two points, that determines a line,
and a line must have a slope = m.
set up the formula
%28y+-+%28-1%29%29+%2F+%28x+-+3%29+=+%281+-+%28-1%29%29+%2F+%280+-+3%29
This is simply slope = slope. The (x,y) in the formula
represents any point also on the line
solving, -3y+-3+=+2x+-6
multiply through by -1
3y+%2B+3+=+6+-+2x
3y+=+-2x+%2B+3
y+=+-%282%2F3%29x+%2B+1
m = -(2/3) you were right