Me with these 5 questions! 2. a. no b. yes; k = -1/2 and y = -1/4x c. yes; k = 4 and y = 4x d. yes; k = 1/4 and y = 1/4x 6. a. y = 5x-1 b. y = 5/2x+5 c. y = -x+5 d. y = 1/5x-1 8. a. line a b. line d c. line b d. line c 11. what is the slope of the line through the points (–2, –1) and (8, –3)? a. 3/2 b. 1/5 c. -3/2 d. -1/5 15. a. line a b. line d b. line b c. line c

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form  

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

substitute

the equation is equal to

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

Part 8) we have

This is the equation of a line into point slope form

The slope is negative

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

substitute the values

simplify

Part 15) we have

The slope is positive

The y-intercept is -2 (For x=0)

The x-intercept is  (For y=0)

therefore the line is a