Shows the work, graphs the line and gives line equations. The line is vertical (up and down) The graph in figure 5 indicates how the slope of the line between the points, (x 1, y 1) (x1,y1) and (x 2, y 2) (x2,y2), is calculated
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Recall that the slope measures steepness
The greater the absolute value of the slope, the steeper the line is.
In the following video we show examples of how to find the slope of a line passing through two points and then determine whether the line is increasing, decreasing or neither. Use this form when you know, or can find, a point on the line (x1, y1), and the slope, m The a and b values in this form cannot be zero Use when asked to state the answer in standard form
Lines that are horizontal have a slope of zero They have run, but no rise. We can assign a numerical value to the slope of a line by finding the ratio of the rise and run The rise is the amount the vertical distance changes while the run measures the horizontal change, as shown in this illustration.
Questions on the slope of a line including the horizontal and vertical lines
Parallel and perpendicular lines are presented along with their solutions and detailed explanations. In general, we say the slope of a line or equation measures the rate of change of the output variable with respect to the input variable Depending on the units involved, this rate might be interpreted as a rate of growth or a rate of speed. The slope is negative because the line falls from left to right
The ratio of vertical change to horizontal change is the same between any two points on a line Use two different points on the line above to show this is true Use a table to determine the slope of a line. There are four types of slope
The line goes up as you move to the right
The line goes down as you move to the right The line is flat (horizontal)
