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 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. 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. I need this done before Monday, please!

Answer/Step-by-step explanation:

✍️The equation of the line in point-slope form:

The equation is given as , where,

(a, b) = a point on the line.

Let's find the slope (m) of the line, housing (3, 21) and (6, 12):

Substitute a = 3 and b = 21, m = -3 into .

Thus, the point-slope equation would be:

✅

✍️The equation of the line in slope-intercept form:

Rewrite , so that y is made the subject of the formula.

Add 21 to both sides

✅The slope-intercept equation of the line is

Where,

-3 = how much did his delivery time decrease per day (slope)

30 = how long it initially took Peter to deliver his packages (y-intercept)

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!