To draw a linear function on a graph, you can follow these simple steps:

1. Know the Standard Form:
   A linear function is written as ( y = mx + b ), where:

   • ( m ) is the slope (how steep the line is)
   • ( b ) is the y-intercept (where the line crosses the y-axis)

2. Find the Intercepts:

   • Y-intercept: To find this, set ( x = 0 ) in the equation. This gives you ( y ). The coordinates will be ( (0, b) ).
   • X-intercept: To find this, set ( y = 0 ) and solve for ( x ). It will be ( ( \frac{-b}{m}, 0 ) ) if ( m ) is not zero.

3. Figure Out the Slope:
   The slope ( m ) shows how much ( y ) changes when ( x ) changes by 1.
   For example, if the slope is 2, it means for every time you move 1 unit to the right on the graph, ( y ) goes up by 2 units.

4. Plot the Important Points:

   • Start by marking the y-intercept point ( (0, b) ) on the graph.
   • Use the slope to find another point. From the y-intercept, move right by 1 unit. Then, go up or down depending on the slope, and mark this second point.

5. Draw the Line:

   • Use a ruler to connect the two points with a straight line. The line goes on forever in both directions, so remember to draw arrows on both ends.

6. Make Sure It's Correct:

   • Go back and check that all the points are right and that your line matches the function correctly.