To graph a line with a slope of 4 through the point (3,0), plot the point and then use the slope to find a second point by rising 4 units and running 1 unit to the right. Draw a straight line through the points. The slope remains constant along the line.
To graph a line with a slope of 4 that contains the point (3,0), you can follow these steps:
Begin by plotting the given point on the coordinate plane, which will be 3 units to the right of the origin along the x-axis, and on the x-axis itself since the y-coordinate is 0.
Since the slope is 4, which means the rise over run is 4/1, from the point (3,0), you can go up (rise) 4 units on the y-axis and 1 unit to the right (run) on the x-axis to find another point on the line.
This second point is (4,4).
Draw a straight line through the two points, extending it in both directions.
This line has a slope of 4 and passes through the point (3,0).
The slope of a line is consistent along its entire length, meaning it will always rise 4 units for every 1 unit it moves horizontally.
The given point and the slope allow us to graph the line accurately, demonstrating how the m term (slope) in the equation of a straight line (y = mx + b) determines its steepness or incline.