Posted by Mego on Sunday, February 20, 2011 at 7:52am.
Find the gradient of the straight line that passes through the points (3,6) and (5,2) and hence find the equation of the line, clearly showing each step of your method

maths  Helper, Sunday, February 20, 2011 at 10:02am
points (3,6) and (5,2)
Slope m = (y2  y1)/(x2  x1)
m = (2  6)/(5  3)
m = 8/8 = 1
Slopeintercept form of the equation,
y = mx + b,
where m = slope and b = yintercept
To find the yintercept, Use either point to substitute into the equation,
y = mx + b
P (3,6), m = 1
y = mx + b
6 = 1(3) + b
6 = 3 + b
b = 3
Therefore, the equation where m = 1 and b = 3 is,
y = 1x + 3
y = x + 3

maths  Mego, Sunday, February 27, 2011 at 10:51am
Thanks!

maths  Mego, Sunday, February 27, 2011 at 11:28am
Thanks! I'm covering maths classes so it's annoying not knowing how to explain and mark work
we are trying to find out how to use the equation to determine whether or not the point (3,2) lies on this line?
the xintercept and the yintercept of the line in the first question and the kids have to show each step of their method clearly.
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