Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store: main title on the graph is sweater sale. graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. the label on the x axis is temperature in degree c, and the label on the y axis is number of sweaters sold. dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1. part a: in your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. part b: describe how you can make the line of best fit. write the approximate slope and y-intercept of the line of best fit. show your work, including the points that you use to calculate slope and y-intercept.

Solution:

The description about the graph is:

Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.

Part A:  The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.

If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.

Equation of line passing through two points,

Equation of line passing through (12.5,6) and (15,4) is given by

Part B: Description of line of best fit

A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set.The line passes through (12.5,6), (15,4),and (7,10) that is three points.

(C) 4 x + 5 y=80

5 y= - 4 x +80

Slope , Y- intercept = 16

Part A

If the city is hotter in temperature more people will get really hot and want the cold refreshing lemonade.

Explanation: if it's really hot out, wouldn't you think people would want to cool off in some way? To cool off, these people bought more lemonade.

Part B

The line of best fit is one that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y2-Y1/X2-X1, Y-intercept is the point that intercepts the Y-intercept.

Step-by-step explanation:

Hope this helped!

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)