he slope of a line is negative two-thirds.
What is the slope of a line that is perpendicular to it?
3/2.
The product of the two slopes must be -1, for perpendicular lines.
To find the slope of a line that is perpendicular to another line, you can use the property that the product of the slopes of two perpendicular lines is always -1.
Given that the slope of the line is -2/3, we can find the slope of the line perpendicular to it by taking the negative reciprocal of -2/3.
The negative reciprocal of -2/3 is calculated by flipping the fraction and changing the sign. So, the negative reciprocal of -2/3 would be 3/2.
Therefore, the slope of the line perpendicular to a line with a slope of -2/3 is 3/2.