A rhombus $$\(A B C D\)$$ has a diagonal $$\(A C\)$$ where $$\(A\)$$ is the point $$\((-3,10)\)$$ and $$\(C\)$$ is the point $$\((4,-4)\)$$. Show that the equation of the line $$\(A C\)$$ is $$\(y=-2 x+4\)$$.
Exam No：0580_s20_qp_41 Year：2020 Question No：10(a)(ii)
Answer:
\(\frac{-10-4}{4--3}[=-2]\) oe
\(10=-2(-3)+\mathrm{c}\)
\(\mathrm{Or}-4=-2(4)+\mathrm{c}\)
and correct completion to \(y=-2 x+4\)
\(10=-2(-3)+\mathrm{c}\)
\(\mathrm{Or}-4=-2(4)+\mathrm{c}\)
and correct completion to \(y=-2 x+4\)
Knowledge points:
E3.2.1 Find the gradient of a straight line.
E3.2.2 Calculate the gradient of a straight line from the coordinates of two points on it.
E3.4 Interpret and obtain the equation of a straight line graph.
Solution:
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