Recall the slope intercept form of an equation is:
y = mx + c, where m is the slope and c = vertical intercept.
y + 2 = 5x + 4
y + 2 = 5x + 4
y = 5x + 4 - 2
y = 5x + 2
So the slope intercept form is y = 5x + 2
Hope this helps.
M + 5n = 7
subtract 5n from each side
m = -5n + 7
(a) (i) In first 4 minutes Mary's speed was 600 / 4 = 150 m / minute
(ii) in last 4 minutes her speed was (1000-600) / 4 = 400/4 = 100 m/min
(b) Marys average speed for the whole journey = 1000/8 = 125 m/min
(c) 200 m
(d) Peter arrived at school after 7 minutes . Mary took 8 minutes. Peter first.
(e) Where they met is given by where the 2 curves intersect. That is at time 6.8 minutes and 880 m from Mary's home
(f) At t= 4 dsitance between then is 600 - 400 = 200 m