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

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

y = mx + b
slope(m) = 1
use either of ur points (0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 1(0) + b
2 = b

ur equation is : y = x + 2 <==

Answer 2

The correct option is 3.

Explanation:

If a line passing through two points then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

It is given that CD passes through points (0, 2) and (4, 6), so the equation of line is

`y-2=(6-2)/(4-0)(x-0)`

`y-2=(4)/(4)(x)`

`y-2=x`

Add 2 on both the sides.

`y=x+2`

The equation of line CD is y=x+2. Therefore the correct option is 3.