A random dataset given by a linear function with noise (gradient and y-intercept of the linear function are randomised as is distribution of x values).

(a) Equation given, and five coordinates. Student should select those coordinates which lie on the line. (b) Gradient and a point on line is given. Student is to calculate coordinates of other points on the line.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

Calculating gradient and finding intercept from a geogebra graph.

Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

No description given

Given one point and the gradient determine the equation of the line.

Identifying gradient and $y$-intercept from $y=mx+b$.

Using basic derivatives to calculate the gradient function of a hill $y=-e^x+b\ln\left(x\right)+c$, and then substituting values to find the gradient at specific distance from the sea. 

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

Find the gradient and y-axis intercept of a line through 2 points. The line is not vertical.

Find the gradient of a line through 2 given points. Part of HELM Book 2.5.2.

Find the gradient of a line through 2 points. The line is not vertical.

Identify the gradient and y-axis intercept of a random non-vertical line.

Compare the gradients of 3 lines and choose the steepest. Part of HELM Book 2.5.1.

Find the gradients of 3 lines. Part of HELM Book 2.5.1.

Reading gradient and intercept from y=mx+c.

Calculating the gradient of a quadratic equation at a specific point and finding the stationary point (maximum) in a contextualised problem. 

No description given

Drag points on an axis to plot a linear graph (integer gradient and intercept only)

No description given

Tests the ability to find the gradient and intercept of a straight line graph.

A quartic is given and the student is asked whether the gradient is positive or negative at various values of x.

Calculating gradients - polynomials

A question to practice equation line and finding gradients

Calculating gradients - polynomials