Plotting coordinates, drawing y = c, x = k and y = mx + c, finding gradient and intercepts, and using straight-line graphs to solve real problems.
5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.
A taxi charges $5 plus $2 a kilometre. One straight line tells you the fare for any journey — that is the power of a linear graph.
Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.
Change the gradient and the intercept.
Copy these into your notebook in your own words — that is how they stick.
y = c horizontal; x = k vertical; x-axis is y = 0; y-axis is x = 0.
m gradient, c y-intercept. Parallel lines: same m.
Table of three values → plot → ruler. Label the line with its equation.
m = (y₂ − y₁)/(x₂ − x₁) = rise ÷ run. Sign shows uphill/downhill.
y-int: x = 0. x-int: y = 0.
c = fixed starting value; m = rate of change.
Use a ruler, label axes with quantity and units, use a scale that fills the grid.
Draw construction lines from the value on one axis to the line, then to the other axis.
3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Mathematics Arcade.
8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.
Write full answers, then reveal the mark scheme and tick the points you earned (19 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [10 marks]
The equation of a straight line is y = 3x − 2.
(a) Complete the table of values for x = −1, 0, 1, 2, 3. [2]
(b) On graph paper, draw the line using a scale of 2 cm to 1 unit on the x-axis and 1 cm to 1 unit on the y-axis. (Check your drawing: ruled line through (0, −2) and (2, 4), labelled axes, correct scale.) [3]
(c) Write down the gradient and the y-intercept, and calculate the x-intercept. [3]
(d) Write the equation of the line parallel to this line that passes through (0, 1). [2]
Question 2 [9 marks]
A car-rental company charges a fixed fee of $40 plus $0.50 for every kilometre driven. The cost C dollars for d kilometres is C = 40 + 0.5d.
(a) Calculate the cost of driving 120 km. [2]
(b) State the meaning of the number 0.5 in the formula and the point where the graph cuts the C-axis. [2]
(c) Mr Singh paid $85. How many kilometres did he drive? [2]
(d) Another company charges C = 25 + 0.65d. For what distance do the two companies charge the same amount? [3]
Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.