Respuesta :

Answer:

The answer to your question is:

Step-by-step explanation:

a) y = (3/4)x - 3

slope = 3/4         tan Ф = 3/4     Ф = 36.9°          (2)

b) y = -2x + 3

slope = -2         tan Ф = -2         Ф = -63.4°         (4)

c) y = 4x + 0.5

slope = 4       tan Ф = 4             Ф = 75.9°            (5)

d ) y = -0.5x + 7

slope = -0.5   tan Ф = -0.5       Ф = -26.56           ( 1)

e) y = x + 4.2

slope = 1        tan Ф = 1              Ф   = 45              (3)

Answer:

[tex]y = -2\cdot x + 3[/tex] (least steep)

[tex]y = -0.5\cdot x + 7[/tex]

[tex]y = \frac{3}{4}\cdot x - 3[/tex]

[tex]y = x + 4.2[/tex]

[tex]y = 4\cdot x + 0.5[/tex] (steepest)

Step-by-step explanation:

The slope is the number along with the independent variable (x), the greater the number, the steepest the line. The functions are ordered as follows:

[tex]y = -2\cdot x + 3[/tex] (least steep)

[tex]y = -0.5\cdot x + 7[/tex]

[tex]y = \frac{3}{4}\cdot x - 3[/tex]

[tex]y = x + 4.2[/tex]

[tex]y = 4\cdot x + 0.5[/tex] (steepest)