Find the equation of the line specified. The slope is 6, and it passes through ( -4,4) a. y = 6x + 4
b. y = 6x - 20
c. y = 12x + 28
d. y = 6x + 28

Please select the best answer from the choices provided

d. y = 6x + 28

Step-by-step explanation:

Since the slope and one point are given to us we can put this equation into slope-point form. This is , so this equation would be y-4=6(x+4). Then solve for y to get the final equation. Once solved for y the slope-intercept equation is y = 6x + 28.

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.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph