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

Question

1 month ago

9

d. y = x – 2

2 answers:

AnnZ [9.1K] · Answer 1 · 2026-02-26T09:55:51+03:00

6 0

The equation that represents a line is given by y = m x + b

Starting with the initial coordinates (0,2)
2 = m * 0 + b
b = 2

Now using the second set of coordinates (4,6)
6 = 4 m + 2
4 m = 4
m = 4 / 4
m = 1

Substituting these values into the line equation

y = x + 2

Answer is C

Inessa [9K] · Answer 2 · 2026-02-26T09:56:26+03:00

Answer:

The line's equation is y = x + 2.

<pTherefore, option (c) is correct.

Step-by-step explanation:

The equation for the line is displayed as

$(y-y_{1}) = \frac{(y_{2}-y_{1})}{x_{2}-x_{1}} (x-x_{1})$

Given that

Line CD intersects at the points (0, 2) and (4, 6).

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

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

y - 2 = x

y = x + 2

This leads to the conclusion that the equation is y = x + 2.

Thus, option (c) is the accurate choice.