Which equation can be represented by the graph shown below?

The correct option is: Option: J

                               3x+8y-16=0

We are given a straight line that passes through the points (0,2).

Also we could observe that the line is a decreasing function since the line has a negative slope and positive y-intercept hence we will check from each of the given equation which has a negative slope.

F)

                     -3x+8y+16=0

on converting this equation to the slope-intercept form.

We observe that the equation takes the form:

            y=3/8 x-2

Here slope is: 3/8

and y-intercept is: -2

Hence, option: F is incorrect.

(Since slope is positive and y-intercept is negative)

G)

                         3x-8y+16=0

on converting this equation to the slope-intercept form.

We observe that the equation takes the form:

            y=3/8 x+2

Here slope is: 3/8

and y-intercept is: 2

Hence, option: G is incorrect.

(Since slope is positive )

H)

                    -3x-8y-16=0

on converting this equation to the slope-intercept form.

We observe that the equation takes the form:

            y= -3/8 x-2

Here slope is: -3/8

and y-intercept is: -2

Hence, option: G is incorrect.

(Since y-intercept is negative )

J)

                        3x+8y-16=0

on converting this equation to the slope-intercept form.

We observe that the equation takes the form:

                     y= -3/8 x+2

Here slope is: -3/8

and y-intercept is: 2

Hence, it satisfies the property of the line.

                          Hence, option: J is correct.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

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