Question

write the slope intercept equation for the line containing the given pair of points (6,8) and (3,5) please help I have been working on this for three day's

Answer 1

Here is a way to approach your problem:
"m" represents slope and "b" the y-intercept.

m = (y2 - y1)/(x2 - x1)
m = (5 - 8)/(3 - 6)
m = -3/-3 = 1

Now, let's try to find "b" using the first ordered pair (6,8):
(y - 8)/(x - 6) = 1
y - 8 = x - 6 -->multiplying both sides by (x - 6) to get rid of the denominator

y = x + 2 -->adding 8 to both sides of the equation (whatever operation you do to one side of the equation you must do to the other side as well)

Now you have the above equation in the slope/intercept form: y = mx + b

You can test this by substituting the values for x and solving for y, using the ordered pairs given.

I hope this will help.

Answer 2

Thank you