Question

50POINTS!!!!! HELP ASAP I ALREADY HAE HIS OVER DUE

1. Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different days. Peter’s Deliveries


(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept form? Show how you determined the equation. (b) Based on the linear model, predict how long it initially took Peter to deliver his packages (y-intercept). Approximately how much did his delivery time decrease per day (slope)? Complete sentences

Answer 1

y - 12 = -3 (x - 6)

y = -3x +6

6 minutes

The delivery times decreased by 3 minutes each day

Explanation:

Point Slope:

Let's pick a point first (6,12)

The Slope of the line is -3

y - y1 = m (x - x1)

y - 12 = -3 (x - 6)

Slope-intercept:

The y-intercept is not shown on the graph but we can turn the point slope form of the equation to slope-intercept

y - 12 = -3x + 18

y = -3x +6

y-intercept:

y = mx + b

y = -3x + 6

m = 6

6 minutes

Slope:

we already know the slope is 3

The delivery times decreased by 3 minutes each day