Answer:
Explanation:
To graph a line with a slope of -3/4 and containing the point (5,7), follow these steps:
Plot the given point (5,7) on a coordinate plane. This point represents one of the points on the line.
Identify the slope of the line as -3/4. The slope represents the change in the y-coordinate (vertical change) divided by the change in the x-coordinate (horizontal change) between any two points on the line.
Use the slope to find another point on the line. Start from the given point (5,7) and use the slope to determine the next point. Since the slope is -3/4, this means that for every 4 units you move horizontally to the right, you must move 3 units vertically downward. So, from (5,7), move 4 units to the right and 3 units downward to get to the next point.
Starting from (5,7), add 4 to the x-coordinate and subtract 3 from the y-coordinate:
x = 5 + 4 = 9
y = 7 - 3 = 4
The next point on the line is (9,4).
Plot the second point (9,4) on the coordinate plane.
Draw a straight line passing through both plotted points. This line represents the graph of the equation with a slope of -3/4 and contains the point (5,7).
Following these steps, you can graph a line with a slope of -3/4 and containing the point (5,7).