Forming equations of given straight line graph (using y=mx+c)

Explore Forming equations of given straight line graph (using y=mx+c).

All resources Download All ⬇

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • CorbettMaths on y=mx+cQuestions PDF · Answers
  • Beta: Plotting co-ordinates, Ex 13.01, pgs 230 & 231
  • Beta: Drawing line from equation, Ex 13.02, pg 233
  • Beta: Gradients, Ex 13.03 to Ex 13.06, pgs 235 & 239
  • Beta: Intercept of lines, Ex 13.07 to Ex 13.08, pgs 240 & 241
  • Beta: Horizontal and vertical lines, Ex 13.09, pg 243
  • Beta: Applying straight-line rules, Ex 13.10, pgs 244 to 246
  • Dr Austin Maths - Finding Equations of Straight Lines from Graphs Practice GridQuestions PDF · Answers
  • Dr Austin Maths - Finding Harder Equations of Straight Lines from Graphs Practice GridQuestions PDF · Answers
  • Dr Austin Maths - Equation of a Straight Line Revision Practice GridQuestions PDF · Answers

Terminology

  • Equation of a line
  • Gradient
  • Slope
  • y-intercept
  • y = mx + c
  • m (gradient coefficient)
  • c (y-intercept constant)
  • Linear equation
  • Rise and run
  • Positive gradient
  • Negative gradient
  • Horizontal line

Task goals

  • Form the equation of a straight line using the formula $y = mx + c$ when given the gradient and y-intercept.
  • Identify gradient $m$ and y-intercept $c$ from a line on a graph and use these to write the equation.
  • Use the y-axis crossing point and rise-over-run to determine both parameters in $y = mx + c$.
  • Write equations for lines with integer and fractional gradients, including negative gradients.
  • Apply the equation form to predict values and understand the behaviour of linear relationships.

Key skills

  • Equation of line
  • y = mx + c
  • Gradient intercept form
  • Linear graphs
  • Coordinates
  • Gradient
  • Intercepts

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included