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

Question

asked Nov 5, 2018 144k views

2 Answers

PRVS · Answer 1 · 2018-11-09T10:20:10+0000

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.