When discussing the key features of a linear graph which of the following statements is true

The point’s will make a straight line
The points always have positive values
The initial value is always zero
The rate of change can vary along the graph

1 answer

The true statement when discussing the key features of a linear graph is:

The points will make a straight line.

In a linear graph, the relationship between the variables is linear, meaning the plotted points will form a straight line.

The other statements are not necessarily true:

  • The points always have positive values: This is not true; points can have negative values depending on the context of the graph.
  • The initial value is always zero: This is not true; the initial value (y-intercept) can be any number.
  • The rate of change can vary along the graph: This is not true for a linear graph; the rate of change (slope) is constant.