Myths about teaching can hold you back
- Year 8
Finding the equation of the line y = mx + c
I can find the equation of the line in the form y = mx + c
- Year 8
Finding the equation of the line y = mx + c
I can find the equation of the line in the form y = mx + c
Lesson details
Key learning points
- Linear equations can be rearranged into the form y =mx + c.
- The gradient and intercept can be identified from the graph.
- The equation of the line can be written in the form y = mx + c.
Keywords
Equation of a line - An equation of a line is any equation whose graph forms a straight line.
Gradient - The gradient is a measure of how steep a line is.
Intercept - An intercept is the coordinate where a line or curve meets a given axis.
Common misconception
Writing the gradient as the constant and the y intercept as the coefficient of x.
Link to linear sequences where the coefficient of n is the common difference in the sequence to help pupils see why (m) is the gradient.
To help you plan your year 8 maths lesson on: Finding the equation of the line y = mx + c, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Finding the equation of the line y = mx + c, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Graphical representations of linear equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What is the $$y$$-intercept of the line with equation $$y = 5x - 1$$ ?
Q2.What is the gradient of the line with equation $$y = x + 7$$ ?
Q3.What is the gradient of this line?

Q4.What is the value of the expression $$10 - 3x$$ when $$x=2$$ ?
Q5.Which coordinates are on the line $$ y = 5x - 6 $$ ?
Q6.What is the $$y$$-intercept for the line formed when these coordinates are plotted?

Assessment exit quiz
6 Questions
Q1.Which of these is an equation for the line which has $$y$$-intercept (0,-4) and gradient 3?
Q2.Which of these is an equation for the line which has gradient -1 and $$y$$-intercept 5?
Q3.The equation of this line is: $$y =$$ $$x - 1$$.

Q4.The equation of the line formed by plotting these coordinates is: $$y =$$ $$- 2x$$.
Q5.Which of these is the equation of this line?

Q6.Which of these is the equation of the line joining the coordinates (-4,1) and (2,-2)? Use the broken table to help.
