Write an equation in slope-intercept form for the line with slope -7 and y-intercept 8 . then graph the line.

Part 1) The equation of the line is

Part 2) The graph in the attached figure

Step-by-step explanation:

Part 1)

Find the equation of the line

we know that

The equation of a line in slope intercept form is equal to

where

m is the slope

b is the y-intercept

In this problem we have

substitute

Part 2)

Graph the line

Find the intercepts

The y-intercept is the point -----> given value

The x-intercept is the value of x when the value of y is equal to zero

For y=0

The x-intercept is the point

To graph the line plot the intercepts

see the attached figure

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,

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.