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
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.
wrong
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.
To find the slope of a line that is perpendicular to another line, you need to know that perpendicular lines have slopes that are negative reciprocals of each other.
The given equation is in the form y = mx + b, where m is the slope of the line. So, in the given equation y = 5/4x - 3/2, the slope is 5/4.
To find the slope of the line perpendicular to the given line, you need to take the negative reciprocal of the slope. To do this, flip the fraction upside down and change the sign (positive becomes negative, and negative becomes positive).
Therefore, the negative reciprocal of 5/4 is -4/5.
So, the correct answer is option a. -4/5.