What is the slope of a line perpendicular to the line y = 2x + 5? A. 1/2
B. -2
C. 2
D. -1/2

A

Step-by-step explanation: You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

The blocking variable in this study is gender of students.

Step-by-step explanation:

Remember that blocking variable is a categorical variable that is used to control the source of variation. We can control the source of variation if we categorize the subjects (in your case students) by male, by age, by race, etc.

All the demographic variables that can be created as categorical variable are blocking variables to remove the sourve of variation, these demographic variables  are observed and unchanging, thats why they are very important if you want to control the variation of your study.

Remember that female and male have different behaviors, so its something that we can control if you separate female subjects from male subjects so we can see the statistical results of this study