Answer:
a ) y = 2,
b ) x = 5,
c ) x = - 3,
d ) y = 4
Step-by-step explanation:
a )
[tex]( - 3, - 4 ), ( 0, y )\\Slope = - 4 - y / - 3 - 0\\2 = - 4 - y / - 3,\\\\- 6 = - 4 - y,\\- y = - 2\\\\y = 2[/tex]
b )
[tex]( - 2, 2 ), ( x, 5 )\\Slope = 2 - 5 / - 2 - x,\\3 / 7 = - 3 / - 2 - x,\\\\( Algebra ) x = 5[/tex]
c )
[tex]( x, 5 ), ( 1, - 5 )\\Slope = 5 - ( - 5 ) / x - 1\\- 5 / 2 = 5 + 5 / x - 1,\\- 5 / 2 = 10 / x - 1\\\\( Algebra ) x = - 3[/tex]
d )
[tex]( -6, y ), ( 8, 2 )\\Slope = y - 2 / - 6 - 8,\\- 1 / 7 = y - 2 / - 14\\\\( Algebra ) y = 4[/tex]
Hope that helps!