How would I find another point on a line using the slope? This is a mth question I need help answering. Can anyone help?
slope is rise/run or (the change in y)/(change in x)
so suppose you have a line with the point (4,-6) on it, and it has a slope of 5/7
so the change in y is 5 for a change in x of 7
so add 5 to the y , and 7 to the x to get (11, -1)
check: what is the slope between (4,-6) and (11,-1) ??
slope = (-1 + 6)/11-4) = 5/7
You can use the above method for every case.
To find another point on a line using the slope, you need to know at least one point on the line and the slope of the line. Let's say you have a point (x1, y1) and the slope is m.
Here's how you can find another point on the line:
1. Start with the given point (x1, y1).
2. Use the slope (m) to determine how the line moves vertically (up or down) and horizontally (left or right).
- If the slope is positive, the line moves up as x increases, or down as x decreases.
- If the slope is negative, the line moves down as x increases, or up as x decreases.
3. Determine the change in x and y values based on the slope:
- The change in x (Δx) will be +1 if the slope is positive or -1 if the slope is negative.
- The change in y (Δy) will be m * Δx.
4. Add the changes to the x and y values of the given point:
- New x-coordinate: x2 = x1 + Δx
- New y-coordinate: y2 = y1 + Δy
5. The new point (x2, y2) will lie on the line with the given point and slope.
Remember, the slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. So, if you have the slope and at least one point, you can use this method to find another point on the line.