- Introduction to Slope: A number that tells you the steepness of a line
- Slope formula: How to calculate the slope between any two points
- Negative slopes: discover what it means when slope is negative
- Zero slope: what are the slopes of horizontal and vertical lines?
- Find the slope of any line: two steps that will always give you the correct slope
- Parallel slopes: Explore why parallel lines have the same slope
- Perpendicular slopes: Discover how slopes of perpendicular lines relate
Slope is the vertical distance divided by the horizontal distance.
Negative slopes moving left to right and they go down while, positive slopes moving left to right and they go up.
Horizontal lines have a slope of zero and vertical lines have a slope that’s undefined.
To find the slope of any line first, pick any two points on the line (x1, y1) and x2, y2). Then, you can find the slope using either one of these formulas: y2 - y1 over x2 - x1 or y1 - y2 over x1 - x2.
Parallel lines always have the same slope
Slopes of perpendicular lines are negative reciprocals (flip the fraction, multiply by -1).
We use slope to measures the steepness of a line by rise over run, which a positive rise denotes a vertical increase or denotes a horizontal change right, and a negative rise denotes a vertical decrease or horizontal change left.
For any non-vertical line, we can write in slope-intercept form, y=mx + b. If given the y-intercept with slope of a line, we can easily graph it by plot the y-intercept from given point use the slope follow by rise over run to mark another point on the line and draw a line through these two points with a straightedge and finally, add an arrow sign at last point to indicate that it extends open-endedly.
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