Final answer:
To sketch the graph of a line, you need to know its equation, plot the y-intercept, use the slope to find a second point, and draw a straight line passing through the two points.
Step-by-step explanation:
To sketch the graph of a line, you need to know its equation. The equation of a line is usually given in the form y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Start by plotting the y-intercept, which is the point (0, b) on the graph.
Step 2: Use the slope m to find a second point. The slope represents how much the y-value changes for every 1 unit change in x. For example, if the slope is 2/3, for every 1 unit increase in x, the y-value increases by 2/3. Use this information to plot a second point on the graph.
Step 3: Draw a straight line passing through the two plotted points. The line should extend infinitely in both directions.