Part B With the slope being 1.50, with the points passing through points(0,3) and (4,9). What is the value of b?

The value of b : 3

Given

slope=m=1.5

points (0,3) and (4,9)

Required

The value of b

Solution

the Equation of a Line : y = mx + b

m = slope

b = constant

Find the slope :

m = (y₂-y₁)/(x₂-x₁)

m = (9-3)/(4-0)

m = 6/4

For the point that the line passes through : (0,3) then the equation :

3=6/4.0+b

3=b

And the equation :

y = 6/4x+3

6.4 cm (max) - 25 cm (min)