Question

Please find the missing value in the ordered pairs.

a) (-3, -4), (0,y); slope = 2
b) (-2,2), (x,5); slope= 3/7
c) (x,5), (1,-5); slope = -5/2
d) (-6,y) (8,2); slope = - 1/7

Answer 1

a ) y = 2,

b ) x = 5,

c ) x = - 3,

d ) y = 4

Explanation:

a )

`( - 3, - 4 ), ( 0, y )\\Slope = - 4 - y / - 3 - 0\\2 = - 4 - y / - 3,\\\\- 6 = - 4 - y,\\- y = - 2\\\\y = 2`

b )

`( - 2, 2 ), ( x, 5 )\\Slope = 2 - 5 / - 2 - x,\\3 / 7 = - 3 / - 2 - x,\\\\( Algebra ) x = 5`

c )

`( x, 5 ), ( 1, - 5 )\\Slope = 5 - ( - 5 ) / x - 1\\- 5 / 2 = 5 + 5 / x - 1,\\- 5 / 2 = 10 / x - 1\\\\( Algebra ) x = - 3`

d )

`( -6, y ), ( 8, 2 )\\Slope = y - 2 / - 6 - 8,\\- 1 / 7 = y - 2 / - 14\\\\( Algebra ) y = 4`

Hope that helps!