Find the equation of the line that passes through the points (-800, 200) and
(-400, 300)

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √(-400--800)2+(300-200)2

d = √((400)2+(100)2)

d = √(160000+10000)

d = √170000

The distance between the points is 412.310562561766

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(-800+-400)/2=-600

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(200+300)/2=250

The midpoint is: (-600,250)

Graphing the two points, midpoint and distance

P1 (-800,200)

P2 (-400,300)

Midpoint (-600,250)

The length of the black line is the distance between the points (412.310562561766)

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step-by-step explanation: