A+ » VCE » Further Maths U3 & 4 Master Notes » OA4 Graphs and Relations » 1.1 Straight Line Graphs

1.1 Straight Line Graphs

Straight Line Graphs

  • Relationships of the form: y=mx+c, where m is the gradient and c is the y-intercept, can be modelled graphically as a straight line.

Example

Picture 1

Above is the graph for the linear relationship: y=-2x+1

Intercepts

  • Two points which are often of interest in graphs are the points at which they cross the x-axis, and where they cross the y-axis. These are known as the x-intercept and y-intercept, respectively.
  • To find the x-intercept given a formula, set y to 0 and solve for x.
  • To find the y-intercept given a formula, set x to 0 and solve for y.
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