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The line with equation ax + by + c = 0 has slope -a/b, so any line perpendicular to it will have slope b/a (the negative reciprocal). Let (m, n) be the point of intersection of the line ax + by + c = 0 and the line perpendicular to it which passes through the point (x 0, y 0). The line through these two points is perpendicular to the original ...
Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
Slope may still be expressed when the horizontal run is not known: the rise can be divided by the hypotenuse (the slope length). This is not the usual way to specify slope; this nonstandard expression follows the sine function rather than the tangent function, so it calls a 45 degree slope a 71 percent grade instead of a 100 percent. But in ...
The rates for a Yellow Cab in Pittsburgh as of September, 2011 are an initial charge of $3.35 plus $0.25 per 1/7 of a mile, plus $0.25 for each minute of waiting time. In trips over 20 miles, the meter will automatically begin calculating the distance following the initial 20 miles at $0.50 per 1/7 mile.
Highway agencies use IRI thresholds to characterize road condition; for example, in the United States, an IRI of less than 95 in/mi (1.50 m/km) is generally considered by the Federal Highway Administration to be in "good" condition, an IRI from 96 to 170 in/mi (1.51 to 2.68 m/km) is considered "acceptable", and an IRI exceeding 170 in/mile (2. ...
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Given two different points (x 1, y 1) and (x 2, y 2), there is exactly one line that passes through them. There are several ways to write a linear equation of this line. If x 1 ≠ x 2, the slope of the line is . Thus, a point-slope form is [3]
Taxi fares are set by the state and city where they are permitted to operate. The fare includes the 'drop', a set amount that is tallied for getting into the taxi plus the 'per kilometer' rate as has been set by the city. The taxi meters track time as well as distance in an average taxi fare.