iGCSE Mathematics (0580) :C2.10 Interpret and use graphs in practical situations including travel graphs and conversion graphs. iGCSE Style Questions Paper 1

Question

(a) Find the equation of line L in the form y = mx + c.

(b) On the grid, draw a line that is perpendicular to line L.

▶️ Answer/Explanation

Answer:

(a) y = 2x – 3

(b) A ruled line perpendicular to L

Explanation:
Part (a):
1. Identify two points on the line L from the graph (e.g., (0,-3) and (1.5,0))
2. Calculate slope (m) = (0 – (-3))/(1.5 – 0) = 3/1.5 = 2
3. y-intercept (c) = -3 (where line crosses y-axis)
4. Final equation: y = 2x – 3

Part (b):
1. Perpendicular slope = -½ (negative reciprocal of 2)
2. Draw any line with slope -½ on the grid
3. Example: A line through (0,0) with slope -½ would work

Question

(a) Complete the table of values for \( y = \frac{5}{x}\)

x	-5	-4	-2.5	-2	-1	1	2	2.5	4	5
y	-1		-2	-2.5	-5	5	2.5	2		1

(b) On the grid, draw the graph of \( y = \frac{5}{x}\) for -5 ≤ x ≤ -1 and 1 ≤ x ≤ 5.

▶️ Answer/Explanation

Solution

(a) Missing values: -1.25 (x=-4), 1.25 (x=4)

Calculated by y = 5/x: 5/-4 = -1.25 and 5/4 = 1.25

(b) Hyperbola graph

Plot all points from the table and draw two smooth curves (one in negative x, one in positive x) approaching but never touching the axes.

iGCSE Mathematics (0580) :C2.10 Interpret and use graphs in practical situations including travel graphs and conversion graphs. iGCSE Style Questions Paper 1

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