In this chapter, we will be learning about straight lines. We will start by understanding the equation y = mx + c and how it relates to the gradient and y-intercept of a line. We will also learn how to interpret and manipulate equations of straight lines in other forms, such as ax + by = c and (x/a) + (y/b) = 1, and convert them to the form y = mx + c, and vice versa. By the end of this chapter, we will be able to confidently work with equations of straight lines and understand their properties.
• Make connection between the equation, y = mx + c, and the gradient and y-intercept, and hence make generalisation about the equation of a straight line
• Investigate and interpret the equations of straight lines in other forms such as ax + by = c and (x/a) + (y/b) = 1, and change to the form of y = mx + c, and vice versa
• Investigate and make inference about the relationship between the points on a straight line and the equation of the line
• Investigate and make inference about the gradients of parallel lines
• Determine the equation of a straight line
• Determine the point of intersection of two straight lines
• Solve problems involving straight lines
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