Answer:
Step-by-step explanation:
Equation of a line passing through (h, k) in point slope form is given by,
y - k = m(x - h)
From the graph attached,
Slope of the line passing through (6, 12) and (3, 21),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{21-12}{3-6}[/tex]
= -3
Therefore, point - slope form of the line passing through (3, 21) will be,
y - 21 = -3(x - 3)
Now convert this equation in slope intercept form,
y = -3x + 9 + 21
y = -3x + 31
(b). For x = 1 Or day 1
y = -3(1) + 31
y = 28 minutes
Therefore, Phillip took 28 minutes initially to deliver his packages.
Slope of the line states the decrease in the delivery time per day that is 3 minutes per day.
