Choose the equation below that represents the line passing through the point (2, −5) with a slope of −3

For this case we have that the point-slope equation of a line is given by:

Where:

m: It's the slope

It is a point

We have to:

Substituting:

ANSWER

or

EXPLANATION

The equation is calculated using the formula,

where m=-3 is the slope and

We substitute the the values to get:

Expand

This is the slope-intercept form.

Or in standard form;

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.