Given the points (0,−3) and (5,-6) and on a line, find its equation in the form y=mx+b
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y = - 25
since x varies directly with y then we can express the relationship as
x = ky ← k is the constant of variation
to find k use the given condition y = - 10 when x = 4
k = =
= -
hence x = - y
when x = 10
10 = - y
multiply both sides by - 5 and divide both sides by 2 )
- 50 = 2y ⇒ y = - 25