A student finds the slope of the line between (14, 1) and (18, 17). She writes . What mistake did she make? She mixed up the x- and y-values. She used y-values where she should have used x-values. She did not keep the order of the points the same in the numerator and the denominator. She should have added the values, not subtracted them.

She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.