Reorder the following equations in descending order of steepness.
y = 0.15x + 3
Y = X
y =
y = 15x + 5
-2x + 100

Respuesta :

Answer:

[tex]y = 15\cdot x + 5[/tex]

[tex]y = x[/tex]

[tex]y = 0.15\cdot x + 3[/tex]

[tex]y = -2\cdot x + 100[/tex]

Step-by-step explanation:

The steepness of linear functions is represented by slope. A linear function is a first-order polynomial whose form is:

[tex]y = m\cdot x + b[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - x-Intercept, dimensionless.

After analysing each expressio, the equations are reordered in descending order of steepness:

[tex]y = 15\cdot x + 5[/tex]

[tex]y = x[/tex]

[tex]y = 0.15\cdot x + 3[/tex]

[tex]y = -2\cdot x + 100[/tex]