Answer:
B. y = -x + 1/4
Step-by-step explanation:
The equation of a line is
y = mx + c
step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( -1/2 , 3/4) ( 3/4, -1/2)
x1 = -1/2
y1 = 3/4
x2 = 3/4
y2 = -1/2
Insert the values into the equation
m = ( -1/2 - 3/4) / ( 3/4 - (-1/2)
m = ( -1/2 - 3/4) / ( 3/4 + 1/2)
m = -5/4 / 5/4
m = -5/4 * 4/5
m = -5 * 4 / 4 * 5
= -20/20
= -1
Step 2: substitute m into the equation
y = mx + c
y = -1x + c
y = -x + c
Step 3: sub any of the two points given into the equation
Let's pick ( 3/4 , -1/2)
x = 3/4
y = -1/2
y = -x + c
-1/2 = -3/4 + c.
c = -1/2 + 3/4
LCM = 4
c = -2 + 3 / 4
= 1/4
y = -x + 1/4
The equation of the line is
y = -x + 1/4
