The line \(y=-2x+5\) cuts the \(y\)-axis at \(A\) while the line \(y=mx-3\) cuts the \(y\)-axis at \(B\). Both the lines cut the \(x\)-axis at \(C(2.5,0)\).
Find the value of \(m\).[2]
“When point \(C\) shifts horizontally to the right by \(k\) units to point \(D\), the area of triangle \(ABD\) is \(k\) units² more than the area of triangle \(ABC\).”
Using calculations, explain, in terms of \(k\), whether the statement is correct.[2]
Given that \(AD^2\) is 45.25 units², find the value of \(k\).[3]
The diagram shows a parallelogram \(WXYZ\). \(W\) lies on the perpendicular bisector of \(ZY\).
Given that the area of the parallelogram is 45 square units, find the equation of line \(XY\).[4]
Solution:
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