Home / iGCSE Mathematics (0580) :E3.1 Demonstrate familiarity with Cartesian coordinates in two dimensions.iGCSE Style Questions Paper 4

iGCSE Mathematics (0580) :E3.1 Demonstrate familiarity with Cartesian coordinates in two dimensions.iGCSE Style Questions Paper 4

Question

(a) Write down the co-ordinates of A.
( ………………… , ………………….) 
(b) Find the equation of line l in the form y=mx+c.
y = ……………………………………….. 
(c) Write down the equation of the line parallel to line l that passes through the point B.
…………………………………………
(d) C is the point (8, 14).
(i) Write down the equation of the line perpendicular to line l that passes through the point C.
…………………………………………
(ii) Calculate the length of AC.
…………………………………………
(iii) Find the co-ordinates of the mid-point of BC.
( ………………… , ………………….)

Answer/Explanation

(a) (5, 6)
\(y=-\frac{4}{5}x+3\)
(c)\(y=-\frac{4}{5}x-2\)
(d)(i)\(y=\frac{5}{4}x+4\)
(ii) 8.54 or 8.544…
(iii) (4, 6)

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