Write an equation is slope intercept form that is parallel to the given line and passes through the given point. 3x + 4y = 8 (4,-3)

The equation is y = -3/4x

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

3x + 4y = 8

4y = -3x + 8

y = -3/4x + 2

This gives us a slope of -3/4. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

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

y + 3 = -3/4x + 3

y = -3/4x

450 is the final answer! : )

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.