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Dec 21, 2023 · Positive Slope: If the line goes up from left to right, the slope is positive. Negative Slope: If the line goes down from left to right, the slope is negative. Zero Slope: If the line is horizontal, the slope is zero. Undefined Slope: If the line is vertical, the slope is undefined or infinite. Difference Between a Graph and Its Slope
The slope or the gradient of a line is denoted by m. It tells us about the steepness of a line. It is defined by the rise over run ratio. If a line passes through the points (x 1, y 1) and (x 2, y 2 ), its slope can be defined as. Slope = m = R i s e R u n = C h a n g e i n y C h a n g e i n x = ( y 2 − y 1) ( x 2 − x 1)
If the value of slope of a line is positive, it shows that line goes up as we move along or the rise over run is positive. If the value of slope is negative, then the line goes done in the graph as we move along the x-axis. Solved Examples on Slope of a Line. Example 1: Find the slope of a line between the points P = (0, –1) and Q = (4,1 ...
Jan 11, 2024 · Answer: An undefined slope refers to the slope of a vertical line on a coordinate plane. Mathematically, it arises when we have a zero in the denominator of the slope formula, making the slope indeterminate.
The slope m of a line can also be defined as the tangent of the angle θ that the line makes with the x-axis. Hence, m = tan θ. Where θ lies between -90° and 90°. If the slope is known, the value of θ can be calculated by using the equation: θ = tan-1 (m) For example, if a line’s slope is 10, the angle θ will be: θ = tan-1 (10) = 84.3°
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Dec 27, 2023 · Definition of the Slope. The slope of a line in a plane containing two points (x1, y1) and (x2, y2) is given by the formula: m = (y2 - y1) / (x2 - x1) Here, ‘m’ is the slope, ‘y2 – y1’ represents the change in y (vertical change), and ‘x2 – x1’ symbolizes the change in x (horizontal change). This ratio gives us the rate of ...
