Question

Initial Knowledge Check graph the line with slope (1)/(2) passing through the point (1,4)

Answer 1

To graph the line with a slope of 1/2 passing through the point (1,4), plot the given point and then use the slope to find another point. Finally, connect the two points with a straight line.

Step-by-step explanation:

To graph the line with a slope of 1/2 passing through the point (1,4), we can follow these steps:

1. Plot the given point (1,4) on the Cartesian plane.
2. Use the slope to find another point on the line. Since the slope is rise over run, for every increase of 1 on the horizontal axis, there is a rise of 1/2 on the vertical axis. Starting from the point (1,4), we can move 1 unit to the right and 1/2 unit up to get another point (2, 4.5).
3. Connect the two points with a straight line to complete the graph of the line with slope 1/2 passing through the point (1,4).