![]() The slope of a line, also known as the gradient is defined as the value of the steepness or the direction of a line in a coordinate plane. Slope of a vertical line, m = Δy/Δx = undefinedįAQs on Slope What is the Slope of a Line? The slope of a vertical line can be given as, Therefore, the net change in the x-coordinates of the vertical line is zero. ![]() We know that, a vertical line is a straight line that is parallel to the y-axis or is drawn from top to bottom or bottom to top in a coordinate plane. Slope of a horizontal line, m = Δy/Δx = zero Slope of Vertical Line The slope of a horizontal line can be given as, Therefore, the net change in the y-coordinates of the horizontal line is zero. We know that, a horizontal line is a straight line that is parallel to the x-axis or is drawn from left to right or right to left in a coordinate plane. The slope of a vertical line is undefined. Undefined Slopeįor a line with an undefined slope, the value of the run is zero. Zero Slopeįor a line with zero slope, the rise is zero, and thus applying the rise over run formula we get the slope of the line as zero. Graphically, a negative slope indicates that while moving from left to right in the coordinate plane, the line falls, which also signifies that when x increases, y decreases. Graphically, a positive slope indicates that while moving from left to right in the coordinate plane, the line rises, which also signifies that when x increases, so do y. There are 4 different types of slopes, given as, We can classify the slope into different types depending upon the relationship between the two variables x and y and thus the value of the gradient or slope of the line obtained.
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