Question

Select the slope perpendicular to the below graph:



a
3/4

b
4/3

c
-4/3

d
1/2

Answer 1

To find the slope of a line that is perpendicular to a given line, we need to use the concept that the product of the slopes of two perpendicular lines is \(-1\). This means if one line has a slope of \(m\), the slope of the perpendicular line will be \(-1/m\).

However, to select the correct slope from the options you've provided, we first need to know the slope of the graph in question. Since the slope of the line isn't provided, I'll give you a general approach assuming you know the slope \(m\):

1. If the slope of the line is \(m\), then the slope of the line that is perpendicular to it would be \(-1/m\).
2. You would compare \(-1/m\) with the slopes given in the options \(a\), \(b\), \(c\), and \(d\).

For example, if the slope of the current line is \(3/4\):
- The slope of the perpendicular line would be \(-4/3\).

Now, based on some potential slopes:
- If the slope given by the graph is \(3/4\), the perpendicular slope is \(-4/3\).

Given that \(c\) is \(-4/3\), that would be the correct answer in that scenario.

Without the slope of the original line, it is impossible to definitively conclude which option is correct. If you can provide the slope of the original line, I can help find the correct answer more accurately!