Question

Determine the slope-intercept form (y = mx + b) of the equation of the line that contains the

points (3, 5) and (5, 6)

Answer 1

Hello,

We have A(3, 5) and B(5, 6)

`m=(y_(B)-y_(A))/(x_(B)-x_(A)) =(6-5)/(5-3) =(1)/(2)`

We know the line contain the point (3, 5)

y = 1/2x + b

⇔ 5 = 1/2 × 3 + b

⇔ 5 = 3/2 + b

⇔ 5 - 3/2 = b

⇔ b = 10/2 - 3/2

⇔ b = (10 - 3)/2

⇔ b = 7/2

`\boxed{y = (1)/(2)x + (7)/(2) }`