Question

Which of the following is the equation of a line that passes through the points (0,6) and (2,10)

Answer 1

First let us find the slope;

Slope for (x₁, y₁) and (x₂, y₂): (0, 6) and (2, 10)

Slope: (y₂ -y₁) / (x₂ -x₁)

Slope: ( 10 - 6) / (2 - 0) = 4/2

Slope = 2

Using (y - y₁) = m(x - x₁)

using (0, 6) as (x₁, y₁)

(y - y₁) = m(x - x₁)

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

y - 6 = 2x

y = 2x + 6 is the equation of line through both points.