Question

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

Answer 1

Answer:

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