Question

Determine the slope of each line, if any. Identify which of the lines is vertical or horizontal.

1. f(x)=2x-5
2. f(x)= -3x + 7
3. f(x) = x + 6
4. f(x) = 1/4x -8
5. f(x)= 1/4x-1/2​

Answer 1

Answers:

1. slope = 2
2. slope = -3
3. slope = 1
4. slope = 1/4
5. slope = 1/4

None of the five lines are horizontal or vertical

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Step-by-step explanation:

Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).

Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.

The other four questions are handled the same way.

A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.

A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.

Side note: something like y = x+6 is the same as y = 1x+6