Home / iGCSE Mathematics (0580) : C3.1 Demonstrate familiarity with Cartesian coordinates in two dimensions. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C3.1 Demonstrate familiarity with Cartesian coordinates in two dimensions. iGCSE Style Questions Paper 1

Question

(a) Write \(\vec{PQ}\) as a column vector.

(b) Write \(3\vec{PQ}\) as a single vector.

Vector diagram
▶️ Answer/Explanation
Question

Point A and line L are shown on the grid.

(a) Write down the coordinates of point A.

(b) On the grid, plot the point (-2, 4).

(c) Find the equation of line L.

▶️ Answer/Explanation
Solution

(a) (1, -2)

(b) Point plotted at (-2, 4)

(c) y = 2x + 3

For (a): Read directly from the grid.

For (c): The line passes through (0,3) giving y-intercept 3. The slope is 2 (rise/run = 2/1).

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