Which of these is a point slope equation of the line that is perpendicular to y - 8 = 3(x -10) and passes through -2, 7 a. y - 7 = -1/3 (x+2) b. y - 7 = -3 (x+2) c. y+7=-1/3(x-2) d. y+7=3(x-2)

OPTION A

Step-by-step explanation:

The form of point slope equation of the line is:

Where m is the slope and () is a poing of the line.

The line given is:

So the slope of this line is m=3

By definition, if two lines are perpendicular to each other, then theis slopes are opposite reciprocals. Therefore the slope of the other line must be:

Substituting the slope and the points given into the formula, you obtain that the line is:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 8 = 3(x - 10) is in this form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

= - = -

the line passes through (a, b) = (- 2, 7), hence

y - 7 = - (x - (- 2)), that is

y - 7 = - (x + 2) → A

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: