The differential equation dy dx equals the quotient of the quantity y minus 2 and y plus 1

produces a slope field with horizontal tangents at y = 2

produces a slope field with vertical tangents at y = −1

produces a slope field with columns of parallel segments,

a) 15/7

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

c

step-by-step explanation: