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)