Indicate the standard form the equatin of the line passing through the given pints E(-2,2) F(5,1)

y = -x/7 + 12/7

Step-by-step 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

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step-by-step explanation: