Question

3. A straight line passes through two points with

coordinates (6,8) and (0,5).
Work out the equation of the line.

Answer 1

Explanation:

Find the slope of the line

(x₁ , y₁) = (6 , 8) & (x₂ , y₂) = (0 , 5)

`Slope = (y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(5-8)/(0-6)\\\\=(-3)/(-6)\\\\=(1)/(2)`

m = 1/2 ;(x₁ , y₁) = (6 , 8)

y - y₁ = m(x - x₁)

`y - 8 = (1)/(2)(x - 6)\\\\y - 8 =(1)/(2)x -(1)/(2)*6\\\\y - 8 =(1)/(2)x- 3\\\\y = (1)/(2)x - 3 + 8\\\\y = (1)/(2)x + 5`