Question

Which relation is a linear function with the greatest slope?

Answer 1

The one you answered is correct. It is infinitely steep

Answer 2

The relation with the greatest slope is: Option D: y = 5x + 1

How to find the Slope?

The formula for the slope between two coordinates is:

Slope =
`(y_(2) - y_(1))/(x_(2) - x_(1))`

1) Slope = (3 - 1)/(0 + 3)

Slope = 2/3

2) Slope = (10 - 0)/(4 - 4)

Slope = 10/0

Slope = Undefined

3) This is a horizontal line which is horizontal to the x-axis.

A horizontal line has no vertical change, so its slope is zero.

Thus:

Slope = 0

4) The general form of the equation of a line in slope intercept form is: y = mx + c

where:

m is slope

c is y-intercept

Thus, for the equation y = 5x + 1, it ic clear that:

Slope = 5