A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1).
Which word describes the slope of the line?

positive
negative
zero
undefined

Positive

Step-by-step explanation:

The slope of a line represents the rate of change of the y-variable (dependent variable) with respect to the rate of change of the x-variable.

In particular, for a line passing through the points

and

The slope of the line is given by

In this problem, we are given the coordinates of three points, so we can use two of them, such as

(0,0)

(5,1)

Substituting into the equation, we find the slope of the line:

which is a positive number: so, the slope of the line is positive.

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,