What is an equation in slope intercept form for the line that passes through the points (1,-3) and (3,1)

A. Y=3x+1
B. Y=x-3
C. Y=2x+5
D. Y=2x-5

y = 2x - 5

Step-by-step explanation:

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given :

( 1 , -3) ( 3 , 1)

x1 = 1

y1 = -3

x2 = 3

y2 = 1

Insert the values

m = 1 - (-3) / 3 - 1

= 1 + 3 / 3 - 1

= 4 / 2

m = 2

Step 2 : using a point slope form equation

y - y1 = m( x - x1)

Using the second slope

( 3 , 1)

x1 = 3

y1 = 1

y - 1 = m( x - 3)

y - 1 = 2 ( x - 3)

Step 3: using a slope intercept form equation

y = mx + c

Open the bracket

y - 1 = 2x - 6

y = 2x - 6 + 1

y = 2x - 5

The equation of the line in slope intercept form is

y = 2x - 5

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!