(6,1) (-3,-5)
Using the 2 co-ordinates we can find the value of the slope using the formula of
slope=
m= [tex] \frac{change-in-y}{change-in-x} [/tex]
= [tex]\frac{1-(-5)}{6-(-3)}
[/tex]
= [tex]\frac{6}{9} [/tex]
= [tex] \frac{2}{3} [/tex]
Using the slope and one co-ordinate the y-intercpt can be be found
Using the slope intercept form y= mx+b
y= 2/3x +b
Then plug in a co-ordinate and solve for b (in my case (6,1)) [x=6,y=1]
y= 2/3x +b
1=2/3(6)+b
1=4+b
b= 1-4
= -3
There fore the y-int. is -3