Use the Slope Formula to find the slope of the line with points (1,-4) and (-3,3)

-7/4

Step-by-step explanation:

Since we have two points we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 3 - -4)/( -3 -1)

  ( 3+4) / ( -3 -1)

   7/-4

   -7/4

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

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step-by-step explanation: