Finding the equation of the line y = mx + c

Maths

Checking and securing understanding of plotting coordinates

Checking and securing understanding of plotting coordinates generated from a rule

Checking and securing understanding of plotting coordinates with technology

Checking and securing plotting a relationship

Features of linear relationships

Defining features of linear relationships

Positive rate of change from a graph

Negative rate of change from a graph

Rate of change from a coordinate pair

The intercept point

The equation of a straight line

Finding the equation of the line ay + bx + c = 0

Using dynamic software to explore linear relationships

Problem solving with graphing linear relationships

In this unit, pupils saw that an arithmetic sequence can be represented graphically and that this is a linear relationship. Any point on the line satisfies this relationship. In the future unit, pupils learn how to find a value that satisfies the relationship when the second value is known, without the aid of the graph.

The sequences unit allowed pupils to explore different ways of generating sequences and then representing an arithmetic sequence graphically. This served as an introduction to this unit on graphical representations of linear equations.

In this unti we develop understanding of linear relationships and explore the key features of a linear equation such as the gradient, intercept and determining an equation from coordinate pairs.

Graphical representations of linear equations

Which of these is an equation for the line which has $$y$$-intercept (0,-4) and gradient 3?

Which of these is an equation for the line which has gradient -1 and $$y$$-intercept 5?

The equation of this line is: $$y =$$ {{}}$$x - 1$$.

The equation of the line formed by plotting these coordinates is: $$y =$$ {{}} $$- 2x$$.

Which of these is the equation of this line?

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

What is the $$y$$-intercept of the line with equation $$y = 5x - 1$$ ?

What is the gradient of the line with equation $$y = x + 7$$ ?

What is the value of the expression $$10 - 3x$$ when $$x=2$$ ?

Which coordinates are on the line $$ y = 5x - 6 $$ ?

What is the $$y$$-intercept for the line formed when these coordinates are plotted?

Finding the equation of the line y = mx + c

Lesson outcome