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d1i1m1o1n [39]
3 years ago
10

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0
(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 <==

xenn [34]3 years ago
5 0

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.

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