on a graph paper, plot the points (0,1) (1,3) (2,5). are they collinear? if so, draw the line that passes through them.
Answers
the points (0,1) (1,3) (2,5). are collinear and lie on y = 2x + 1
Step-by-step explanation:
points (0,1) (1,3) (2,5). will be collinear
if they are on same line
means they will have same slope
Slope between (0,1) (1,3)
= (3 - 1)/(1 - 0)
= 2
Slope between (0,1) (2,5)
= (5 - 1)/(2 - 0)
= 2
Slope between(1,3) (2,5)
= (5 - 3)/(2 - 1)
= 2
Same slope Hence the points (0,1) (1,3) (2,5). are collinear
y = 2x + c
1 = 0 + c
=> c = 1
y = 2x + 1 is the equation of line
Graph attached
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