Question

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD? y = 2x – 2 y = 2x + 2 y = x + 2 y = x – 2

Answer 1

slope = (6 - 2)/(4 - 0) = 4/4 = 1

y intercept (0,2) so b = 2

equation
y = x + 2

answer
y = x + 2

Answer 2

Answer: The correct option is (C)
`y=x+2.`

Step-by-step explanation: Given that the line CD passes through the points (0, 2) and (4, 6).

We are to select the equation that represents line CD.

The slope of a straight line passing through the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

So, the slope of line CD is given by

`m=(6-2)/(4-0)=(4)/(4)=1.`

Since the line CD passes through the point (0, 2), so its equation will be

`y-2=m(x-0)\\\\\Rightarrow y-2=1* x\\\\\Rightarrow y-2=x\\\\\Rightarrow y=x+2.`

Thus, the required equation of line CD is
`y=x+2.`

Option (C) is CORRECT.