Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
Finding the slope




We know the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept



now substituting m = -10/7 and b = -45/7 in the slope-intercept form



Thus, the equation of the line in slope-intercept form is:
Answer:
The weight of container C is 2.1kg.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the weight of container A.
y is the weight of container B.
z is the weight of container C.
The average weight of 3 containers A,B and C is 3.2kg.
This means that the total weight is 3*3.2 = 9.6kg. So

Container A is twice as heavy as container B.
This means that
.
Containers B is 400 g heavier than container C.
400g is 0.4kg. So
This means that
, or 
Replacing y and z as functions of x in the first equation:




Container C

The weight of container C is 2.1kg.
That’s easy. He just has to score lower than the lowest athlete’s time. Since the lowest time is 9.75 seconds, any time lower than that will win him the competition.