Line cd passes through points (0,2) and (4,6) which equation represents line cd?

Answer 1

To find the equation of a line passing through two points, you can use the point-slope form of a linear equation.

The point-slope form equation is given by:
y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points on the line, and m is the slope of the line.

Given the points (0,2) and (4,6), let's determine the slope first.
m = (y₂ - y₁) / (x₂ - x₁)
m = (6 - 2) / (4 - 0)
m = 4 / 4
m = 1

Now, using the point-slope form with one of the points (0,2):
y - 2 = 1(x - 0)
y - 2 = x

Thus, the equation representing line cd is y = x - 2.