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1)FInd an equation of the line containting the given pair of points.
(-8,0) and (0,5)

MY ANSWEAR: (5/8)X+5

2)Find an equation of the line having the given slope and containing the given point.
m=6 (8,1)

MY ANSWEAR: 6X-47

1)

Firstly we need to find the slope of the line the two points are on by using the equation
m = (y2-y1)/(x2-x1)
m = (5 - 0)/(0 - [-8]) = 5/(0 + 8)
m = 5/8

Then use y-y1=m(x-x1) to find the equation of the line.

y - 0 = (5/8)*(x - [-8])
y = 5/8x + 5

2)
You can jump straight to the
y-y1=m(x-x1) equation.

y - 1 = 6(x - 8)
y - 1 = 6x - 48
y = 6x - 48 + 1
y = 6x - 47
So you got both parts correct :)

Well done!

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