Mathematics 0580 · IGCSE
Gradient of linear graphs
16 practice questions on Gradient of linear graphs, with worked solutions and instant marking.
State the gradient of the line $y = 2x - 3$.
Feb/March 2020
State the gradient of the line $y=-3x+4$.
May/June 2015
The diagram shows axes marked $x$ and $y$, with a straight line extending from point $A$ at about $(0,1)$ to point $B$ at about $(3,10)$.
May/June 2017
The gradient of the line is 5. $M$ and $N$ are two points on this line. $M$ is at $(x, 8)$ and $N$ is at $(k, 23)$.
May/June 2017
Find the coordinates of the point where the line $y = 3x - 8$ meets the $y$-axis.
May/June 2019
Find the gradient of the line perpendicular to $3y = 4x - 5$.
May/June 2021
A coordinate grid contains a straight line labelled L, which slopes down from the top left towards the bottom right.
May/June 2022
Find the gradient of the line through the points $(-2, 7)$ and $(3, 1)$.
May/June 2024
The line $L$ has equation $y = 5x - 3$.
May/June 2025
A coordinate grid is displayed, with the axes marked $x$ and $y$. Point $A$ appears at $(3,6)$, and point $B$ appears at $(7,1)$.
Oct/Nov 2016
Line A is given by $y = 5x - 4$. Line B is given by $3x + 2y = 18$.
Oct/Nov 2017
State the gradient of the line $y = 4x - 6$.
Oct/Nov 2018
Show that $4y = 5x - 10$ and $5y + 4x = 35$ are perpendicular lines.
Oct/Nov 2019
A straight line passes through the points $(3k, 6)$ and $(k, -5)$. The gradient of the line is 2.
Oct/Nov 2019
The line $l$ is described by the equation $y = 5x + 12$.
Oct/Nov 2020
A straight line, $l$, is defined by $y = 5x + 12$.
Oct/Nov 2020