SOLUTION: Find the distance between the two points. Round an approximate result to the nearest hundredth. ( -1,-1) and ( 3,-7) Find the midpoint of the line segment having the given

Algebra ->  Linear-equations -> SOLUTION: Find the distance between the two points. Round an approximate result to the nearest hundredth. ( -1,-1) and ( 3,-7) Find the midpoint of the line segment having the given       Log On


   



Question 465991: Find the distance between the two points. Round an approximate result to the nearest hundredth.
( -1,-1) and ( 3,-7)
Find the midpoint of the line segment having the given endpoints.

( 8,-4) and ( -7,8)
Determine whether the lines are parallel, perpendicular, or neither.

y + x = -2 and y - x = -2
Without graphing, identify the slope and the y-intercept.

y = 3x + 9
Solve the quadratic equation.

x2 - x = 72


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Please keep these formulas for reference:
D = sqrt+%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29%29
( -1,-1)
( 3, -7) D = sqrt%28%28-4%29%5E2+%2B+6%5E2%29+=+sqrt%2852%29+=+7.21 to the nearest hundredth
Midpoint Pt(x,y): ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)
( 8,-4)
( -7,8) M = (1/2,2)



y + x = -2 OR y = (-1/1)x-2
y - x = -2 OR y = (1/1)x-2 Lines are perpendicular: Solpes negative reciprocals
y = 3x + 9 |slope m = 3 and y-inteecept is Pt(0,9)
point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 will come in handy as well
x^2 - x - 72 = 0
factoring
(x-9)(x+8)= 0
(x-9)=0
(x+8)= 0 x = 9 and x = -8 are the solutions