Find the slope of the line through the given points. (2,4) (6,-3).
m=y2-y1 over x2-x1.
(-3)-(4) over(6)-(2)
-3-4 over 6-2
-7 over 4.
I plotted the two coordinates (2,-4) (6)(-3), and the slope is -7 over 4, right?
How do you plot the slope?
I think you intended to write that you plotted the coordinates (2,4)(6,-3), If you draw a straight line through the two points the slope is the slope of the line. The slope is plotted when you draw the line between the two points. Yes, the slope is -4/7.
I goofed big time with a typoe. The slope is -7/4. Sorry about that.
Yes, you are correct. The slope of the line through the points (2,4) and (6,-3) is -7/4. When you plot the two points and draw a straight line through them, the slope is already represented by the steepness or incline of that line.
To plot the slope, you can start by plotting the two given points on a coordinate plane. In this case, plot the points (2,4) and (6,-3). Once the points are plotted, you can draw a straight line passing through them. The slope of the line is equal to -7/4. This means that for every 4 units you move to the right, the line moves 7 units downwards.
To find the slope of a line passing through two points (x1, y1) and (x2, y2), you can use the formula:
m = (y2 - y1) / (x2 - x1)
In this case, (x1, y1) = (2, 4) and (x2, y2) = (6, -3).
So the slope (m) is:
m = (-3 - 4) / (6 - 2)
m = -7 / 4
Therefore, the slope of the line passing through the points (2, 4) and (6, -3) is -7/4.
To plot the slope on a graph:
1. First, plot the two given points (2, 4) and (6, -3).
2. Then, draw a straight line passing through these two points.
3. The slope of the line represents the ratio of vertical change (y) to horizontal change (x).
- In this case, the slope is -7/4, which means that for every 4 units of horizontal change to the right, the line moves 7 units downward.
So to plot the slope, starting from one of the given points, you can move 4 units to the right (in the positive x-direction) and 7 units downward (in the negative y-direction). Repeat this process to plot additional points on the line, and then connect them to form the line with a slope of -7/4.