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

Answer:

The correct option is 3.

Step-by-step explanation:

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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-2=\frac{6-2}{4-0}(x-0)$

$y-2=\frac{4}{4}(x)$

$y-2=x$

Add 2 on both the sides.

$y=x+2$

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