To graph the line through the point (0, 5) with a slope of -1/6, we can start by plotting the given point on a coordinate plane.
The point (0, 5) is located on the y-axis, where x = 0 and y = 5. So we plot a point at (0, 5).
Next, we can use the slope to find another point on the line. The slope of -1/6 means that for every change of 6 units horizontally, there will be a change of -1 unit vertically.
Starting from the point (0, 5), we can go 6 units to the right (positive x-direction) and then down 1 unit (negative y-direction) to find another point.
So we have the points (0, 5) and (6, 4).
Plotting these two points on the coordinate plane, we can then draw a straight line passing through the two points.
The graph of the line through the point (0, 5) with a slope of -1/6 would look like this:
```
|
5 | ●
|
4 | ●
|______________________________________
0 1 2 3 4 5 6 7 8 9 10 (x-axis)
```
In the graph, the point (0, 5) is represented by a solid dot, and the point (6, 4) is represented by another solid dot. The straight line passing through these two points represents the line with a slope of -1/6.
Graph the line through the given point with the given slope.
(0, 5), m = minus one sixth
1 answer