how do you find the slope?
slope = rise/run
depends how that information is given in the question.
slope, M=change in y/change in x
M=Δ y/Δ x
M=(y2-y1)/(x2-x1)
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To find the slope of a line, you need to know two points on the line. Let's call them (x₁, y₁) and (x₂, y₂).
The slope, often represented by the letter m, is calculated using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
To apply this formula, follow these steps:
1. Identify the coordinates of the two points on the line.
2. Substitute the values into the formula.
3. Subtract y₁ from y₂ to get the difference in the y-coordinates.
4. Subtract x₁ from x₂ to get the difference in the x-coordinates.
5. Divide the difference in y-coordinates by the difference in x-coordinates.
6. The result is the slope of the line.
It's important to note that if the line is vertical, the slope is considered undefined because the difference in x-coordinates is zero. Similarly, if the line is horizontal, the slope is 0 because the difference in y-coordinates is zero.