The equation of the straight line that passes through the point with coordinates of 0,0 and 2,8. do the same for the coordinates of 0,0 and 4,2.......0,0 and 2,10

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asked Mar 28, 2021 96.8k views

1 Answer

Muka · Answer 1 · 2021-04-02T07:41:49+0000

Answer: Equation of a line passes through (0,0) and (2,8):
y=4x

Equation of a line passes through (0,0) and (4,2):
y=(1)/(2)x

Equation of a line passes through (0,0) and (2,10):
y=5x

Explanation:

Equation of a line passes through (a,b) and (c,d) :
(y-b)=(d-b)/(c-a)(x-a)

Then, Equation of a line passes through (0,0) and (2,8):

$(y-0)=(8-0)/(2-0)(x-0)\\\\\Rightarrow\ y=4x$

Equation of a line passes through (0,0) and (4,2):

$(y-0)=(2-0)/(4-0)(x-0)\\\\\Rightarrow\ y=(1)/(2)x$

Equation of a line passes through (0,0) and (2,10):

$(y-0)=(10-0)/(2-0)(x-0)\\\\\Rightarrow\ y=5x$