Write an equation for a line parallel to y=-2x-1 that passes through (2,-7)

The equation is;

y = -2x - 3

Step-by-step explanation:

If two lines are parallel, then they have an equal value of slope

Mathematically we can generally have the equation of a line written as;

y = mx + c

where m

is slope and c is the y-intercept

In the case of the equation given, the slope of the line is -2

So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)

The point-slope form can be written as;

y-y1 = m(x-x1)

So the equation we want to get is;

y-(-7) = -2(x-2)

y + 7 = -2x + 4

y = -2x + 4 - 7

y = -2x - 3

The box plot is a diagram which is used to display the distribution of data based on the five number summary: minimum, first quartile, median, third quartile, and maximum.

The box plot provides information about the minimum value, first quartile, median, third quartile and the maximum point of a data set.
The box plot does not provide information about the mean of a data distribution.

Therefore, Beth may not be correct because means cannot be determined from box plots.