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

Solution:

Given, the points C(0, 2) and D(4, 6).

We have to find the equation of the line CD.

The equation of the line passing through two points is given by

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

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

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

y - 2 = x

x - y + 2 = 0

Therefore, the equation of the line CD is y = x + 2

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

Summary:

Line CD passes through points (0, 2) and (4, 6). The equation y = x + 2 represents line CD.