Question

Each of the line segments in the work MATH are numbered in the graph below. find the slope (as a ratio of rise over run) of each line segment for lines 1-12.Hopefully I provided enough information!

Answer 1

1. No Slope

2. -4/3

3. 4/3

4. No Slope

1) Let's start by calculating the slope of each segment:

1) Vertical lines do not have a slope, since the slope is the steepness of a line.

So m is undefined

2) Picking points (-8,8) and (-5,4) and plugging into the slope formula:

`m=(4-8)/(-5+8)=(-4)/(3)=-(4)/(3)`

3) For this line segment (3) let's pick and plug points (-5, 4) and (-2,8)

`m_3=(y_2-y_1)/(x_2-x_1)\Rightarrow m=(8-4)/(-2+5)=(4)/(3)`

4) Since we have another vertical line then, the slope it's undefined because of that (considering points (-2,8) and (-2,1)

Hence, there is no slope

4) Hence, for Quadrant II (letter M) we have:

1. No Slope

2. -4/3

3. 4/3

4. No Slope

s