Question

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

Answer 1

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`