Drawing straight-line from given equation

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Draw straight-line graphs given in y=mx+c form with whole-number gradients and intercepts, using a table of values or by plotting the y-intercept and using the gradient.
Draw straight-line graphs with fractional gradients in y=mx+c form.
Draw horizontal lines y=c and vertical lines x=c, including lines through the origin.
Draw straight-line graphs given in the form ay=bx+c or y-y1=mx, rearranging first to find the gradient and y-intercept.
Draw straight-line graphs given in general form ax+by=c, rearranging into y=mx+c form before plotting.
Draw straight-line graphs given in point-gradient form y-y1=m(x-x1).
Draw two straight-line graphs on the same grid to compare their gradients and intercepts.

Students should know how to convert y=mx+c to a table, and then plot the co-ordinates from the table.
Students should also know how to use y=mx+c to find the start point on the y-axis and use the gradient to plot the rest of the line.
Builds directly on T4_LO5 (plotting/reading co-ordinates). T4_LO7 (gradient) and T4_LO8 (x- and y-intercepts) go deeper into the two features read off here; T4_LO9 is the inverse skill (forming the equation from a drawn line rather than drawing from the equation).