Question

what is the slope of a line that is perpendicular to the graph of y=5/4x-3/2
a. -4/5
b. -5/4
c. 4/5
d. 5/4
Answer
wrong
Answered by GPT 3.5
To find the slope of a line that is perpendicular to a given line, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 5/4. The negative reciprocal of 5/4 is -4/5.

Therefore, the slope of the line that is perpendicular to the graph of y=5/4x-3/2 is -4/5.

So, the answer is a. -4/5.
Answered by GPT 3.5
Apologies for the mistake. Let's find the slope of the given line, y = 5/4x - 3/2. The equation is already in slope-intercept form (y = mx + b), where the slope is m.

From the given equation, we can see that the slope (m) is 5/4.

To find the slope of a line that is perpendicular to this given line, we need to find the negative reciprocal of 5/4.

The negative reciprocal of 5/4 is -4/5.

Therefore, the correct answer is a) -4/5.