Answer:
y = -x/7 + 12/7
Explanation:
We are requested to find the standard equation of a line
We are given two points
E and F
E ( -2 , 2)
F ( 5 ,1 )
Step 1: find the slope
m = y_2 - y_1 / x_2 - x_1
x_1 = -2
y_1 =2
x_2 = 5
y_2 = 1
Inserting the values
m = 1 - 2 / 5 - (-2)
m = 1 -2 / 5 + 2
= -1 / 7
Slope = -1/7
Step 2: using the point slope form
y - y_1 = m( x - x_1)
Using point ( 5, 1)
x_1 = 5
y_1 = 1
m = -1/7
Insert the values
y - 1 = -1/7(x - 5)
y - 1 = -1(x - 5)/7
Open the bracket with -1
y - 1 =( -x + 5) / 7
following the equation of a line
y = mx + C
y = (-x + 5)/7 + 1
LCM = 7
y = (-x + 5+ 7) / 7
y = (-x + 12)/7
We can still separate
y = -x/7 + 12/7
The standard equation of a line is
y = -x/7 + 12/7