Posted by S Rey on Sunday, June 6, 2010 at 6:10pm.
This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following.
Options
A)
The gradient of the line is 3.
B)
The gradient of the line is −3.
C)
The gradient of the line is
1/3.
D)
The equation of the line is y = −3x.
E)
The equation of the line is y =2x − 6.
F)
The line cuts the yaxis at y =3.
G)
The line passes through the origin.
H)
The line passes through the point (1, −1).

Mathamatics  Damon, Sunday, June 6, 2010 at 6:29pm
(−1, 3) and (2, −6)
(6 3)/(2+1) = slope(or gradient) = 9/3 = 3
therefore
y = 3 x + b
3 = 3(1) + b
b = 0
so
y = 3x
this goes through (0,0)
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