Plot the points and determine the slope of the line containing them.
(-7,-4)(8,-4)
To plot the points (-7, -4) and (8, -4) and determine the slope of the line containing them, follow these steps:
1. Plot the first point: Start by locating the first point (-7, -4) on a coordinate plane. The x-coordinate is -7, which means you move 7 units to the left on the x-axis. The y-coordinate is -4, which means you move 4 units down on the y-axis. Mark this point on the graph.
2. Plot the second point: Now, locate the second point (8, -4) on the same coordinate plane. The x-coordinate is 8, which means you move 8 units to the right on the x-axis. The y-coordinate is -4, which means there is no movement on the y-axis since it stays at -4. Mark this point on the graph.
3. Connect the points: Draw a straight line connecting the two plotted points (-7, -4) and (8, -4). This line represents the line containing the two points.
4. Calculate the slope: The slope of a line is given by the formula (change in y) / (change in x). In this case, the y-coordinate stays the same for both points, so there is no change in y. The change in x is found by subtracting the x-coordinate of the first point from the x-coordinate of the second point: 8 - (-7) = 8 + 7 = 15. Therefore, the slope of the line is 0/15, which simplifies to 0.
In summary, the points (-7, -4) and (8, -4) lie on a horizontal line with a slope of 0.