Question

Reorder the following equations in descending order of steepness.

y = 0.15x + 3
Y = X
y =
y = 15x + 5
-2x + 100

Answer 1

`y = 15\cdot x + 5`

`y = x`

`y = 0.15\cdot x + 3`

`y = -2\cdot x + 100`

Explanation:

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

`y = m\cdot x + b`

Where:

`x`,
`y` - Independent and dependent variables, dimensionless.

`m` - Slope, dimensionless.

`b` - x-Intercept, dimensionless.

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

`y = 15\cdot x + 5`

`y = x`

`y = 0.15\cdot x + 3`

`y = -2\cdot x + 100`