Write the equation of a line that passes through the point (-2, 1) and has a slope of 4. a. y = 4x − 7 b. y = 4x + 1 c. y = 4x + 3 d. y = 4x + 9

D. y = 4x + 9

Step-by-step explanation:

a line that passes through the point (-2, 1) and has a slope of 4

y = 4x + b

b = y - 4x

b = 1 - 4(-2)

b = 1 + 8

b = 9

So equation

y = 4x + 9

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.

step-by-step :