What is the equation of the line that passes through the point (-8,1)(−8,1) and has a slope of -3/4?

y= -3/4x-5

Step-by-step explanation:

To find the answer, use the point-slope form equation.

y-y^1= m(x-x^1)

Now substitute the variables.

y-1= -3/4(x--8)

A negative and a negative equal a positive, so that turns into a plus sign.

y-1= -3/4(x+8)

Now distribute into the parenthesis.

y-1=-3/4x+(-6)    *The plus sign turns into a minus sign

y-1= -3/4x-6

Now add 1 to both sides to isolate the y-variable.

y-1= -3/4-6

+1          +1

This turns into...

y= -3/4x-5

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

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.