Write an equation for the line containing this points (0,6) and (-2,10)

Answer 1

The point - slope from of line equation is y - y₁ = m(x - x₁), m is slope and (x₁, y₁) is point.

The points are (x₁, y₁) = (0, 6) and (x₂, y₂) = (-2, 10).

Slope m = (y₂ - y₁)/(x₂ - x₁) = (10 - 6) / (-2 - 0) = 4 / -2 = -2.

To write the line equation, we can use either of the two given points.

Consider the point (x₁, y₁) = (0, 6).

Substitute m = -2 and (x₁, y₁) = (0, 6) in point-slope form equation or y - y₁ = m(x - x₁).

y - 6 = -2 ( x - (0) )

y - 6 = -2 ( x )

2x + y - 6 = 0.

The equation for the line containing the points (0,6) and (-2,10) is 2x + y - 6 = 0.