Answer:
The required equation of line in point-slope form is:

Step-by-step explanation:
Given points are:
(x1,y1) = (3,6)
(x2,y2) = (5,-8)
The point-slope form of an equation is given by:

Here m is slope of the line and (x1,y1) is a point on line
The slope is calculated using the formula:

Putting the values we get

Putting in the equation

Now we have to put a point in the equation, putting (3,6) in the equation

Hence,
The required equation of line in point-slope form is:

The answer is d) none because substituting -1/4x + 5/3 for y in the first equation gives 3x - 3x + 5/3 = 20 so 5/3 = 20 which is not true.
Answer:
x2 1-
Step-by-step explanation:
Answer:
Speed = 0.1333 km/minute
Step-by-step explanation:
According to the graph :
At 10 minutes, it could be observed that the Distance moved started to reduce until distance moved reached 0 at 20 minutes. This could be interpreted as a case of negative acceleration (that is deceleration) whereby the distance covered started to decrease with time until the it rest at 0.
Speed during the last 30 minutes :
Speed = distance / time
Distance moved during this period :
Distance (from 0 to 4km)
Time = (from 30 to 60 minutes)
Speed = (4 - 0) / (60 - 30)
Speed = 4 / 30
Speed = 0.13333 km per minute