Need this in 10 minsWrite the standard form of the equation of each line given the slope and y-intercept
1) Slope=-3/5, intercepts
2) Slope =-2/3, 4 intercept = -4

Note:

Your first question is missing the y-intercept, so I am solving the 2nd question, but the procedure to solve each of the questions is the same.

The equation in the standard form is:

Step-by-step explanation:

Given

Slope m = -2/3

y-intercept = -4

We know that the slope-intercept form of the line equation

y = mx+b

where

now substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

We know that the equation in the standard form is

where x and y are variables and A, B and C are constants

so writing the equation in the standard form

Therefore, the equation in the standard form is:

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.

its 8

step-by-step explanation: