Question

Is this 3 and 0, or 0 and 3? I think that’s what it is, but I can’t tell.

Answer 1

From the image, we are asked to find the values of the slope. To assist with the solution, we would be choosing two arbitrary points on each of the graphs instead of just stating the obvious conclusions.

This can be seen below;

Step-by-step explanation

The formula for the slope of a graph is given as

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \text{Where (x}_1,y_1)and(x_2,y_2)\text{ are any two points on the graph} \end{gathered}`

Graph 1

Graph 1 represents a horizontal line. Using the scale of the graph we can pick two points as (-5,4) and (5,4).

Therefore the slope becomes

`m=(4-4)/(5-(-5))=(0)/(10)=0`

Answer: The slope of graph 1 is zero

Graph 2

Graph 2 represents a vertical line. Using the scale of the graph we can pick two points as (-5,3) and (-5,4)

Therefore the slope becomes;

`m=(4-3)/(-5-(-5))=(1)/(0)`

Answer: The slope of graph 2 is undefined.

The slope of a horizontal line is zero while the slope of a vertical line is undefined. Slopes represent a line's ratio of vertical change to horizontal change. Because horizontal and vertical lines remain constant and never increase or decrease, they're merely straight lines. Horizontal lines have no steepness at all.