Topics
Linear Equations
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India
Class IX

Finding Gradients

Lesson
Practice

Interactive practice questions

Consider the line shown in the graph with Point A $\left(0,-2\right)$(0,−2) and Point B $\left(3,2\right)$(3,2)

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A line is graphed in the Cartesian coordinate plane with a positive slope. This line passes through points $\left(0,-2\right)$(0,−2) and $\left(3,2\right)$(3,2).
a

Find the rise (change in the $y$y value) between point A and B. Note: Ensure you have the correct sign.

b

Find the run (change in the $x$x value) between point A and B. Note: Ensure you have the correct sign.

c

Find the gradient of the line.

Easy
1min

What kind of slope does the following line have?

Easy
< 1min

What is the slope of the identity function?

Easy
1min

What is the gradient of the line shown in the graph, given that Point A $\left(3,3\right)$(3,3) and Point B $\left(6,5\right)$(6,5) both lie on the line?

Easy
1min
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Outcomes

9.CG.CG.1

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, graph of linear equations as examples; focus on linear equations of the type ax + by + c = 0 by writing it as y =mx + c and linking with the chapter on linear equations in two variables.

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