Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 2
16 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Calculate the gradient of the straight line passing through the points (4, -5) and (10, 7).
Question 2
3 marks · Normal
Answer and see the solution →Find the equation of a straight line with a gradient of $-3$ that passes through the point (2, 7). Write your answer in the form $y = mx + c$.
Question 3
4 marks · Normal
Answer and see the solution →The line $y = 2x - 4$ is shown below.
Graph of $y = 2x - 4$ (a)[1 mark]Write down the coordinates where the line crosses the y-axis.
(b)[1 mark]Find the gradient of this line.
(c)[1 mark]Find the x-coordinate where the line crosses the x-axis.
(d)[1 mark]Write down the equation of a line parallel to $y = 2x - 4$ that passes through (0, 3).
Question 4
3 marks · Normal
Answer and see the solution →A straight line passes through the points $A(3, 5)$ and $B(7, 13)$.
Find the equation of the line in the form $y = mx + c$.
Question 5
3 marks · Normal
Answer and see the solution →A taxi company charges a $4.50 fixed fee plus $1.20 for every kilometre travelled.
Complete the table below to show the total charge $C$ in dollars ($) for $k$ kilometres.
Taxi Fare Table k (km) C ($) 0 5 10 Question 6
4 marks · Normal
Answer and see the solution →The equations $y = 3x + 1$ and $y = -x + 17$ are plotted on the same set of axes.
(a)[3 marks]Find the coordinates of the point of intersection of the two lines.
(b)[1 mark]What is the gradient of the second line?
Question 7
3 marks · Normal
Answer and see the solution →Line $L$ passes through the points $P(-6, 8)$ and $Q(0, -4)$. Without finding its full equation, show that $L$ crosses the x-axis at $x = 2$.
Question 8
4 marks · Normal
Answer and see the solution →A fitness tracker records the number of steps and the calories burned for four days, as shown in the table below.
Steps and Calories Data Steps (thousands) Calories burned 5 190 7 266 9 342 11 418 (a)[1 mark]Plot a graph of calories burned against steps (thousands) for the four days.
(b)[1 mark]By drawing a straight line through the points, estimate the number of calories burned if 8,000 steps are recorded.
(c)[2 marks]Write down the equation of the line in the form $C = ms + c$, where $C$ is calories burned and $s$ is steps in thousands.