Key questions and key concepts

How can all the points on a straight line be described mathematically?

• The equation of a straight line

  • from two points

  • from a slope and a point

  • parallel and perpendicular to a given line through some other point

What are the features of the graph of a linear function ?

·   Slope (m) as a rate of growth

y-intercept (c) 

How do you work out the formula for a linear relationship, given some data or a description of a situation?

·   Slope as a rate of growth

Interpretation of the intercepts 

How can the point where two lines intersect be found?

·   Solve simultaneous linear equations, graphically and algebraically

Find the points of intersection between two coincident straight lines 

Resource list (These state the concepts covered in class)

Distance between two points

https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/distance-formula 

Midpoint 

https://www.mathsisfun.com/algebra/line-midpoint.html

Gradient

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/slope-of-a-line 

Parallel and perpendicular lines

Equations of a line (general form and gradient/slope-intercept form)

Points on a line

Graphing from gradient-intercept form and general form

Vertical and Horizontal lines

Finding the equation of a line

Solving simultaneous equations with:

Substitution

Elimination