The slant of a line is called the slope. Slope describes how steep a line is. The slope of a line can be found using the ratio of rise over run between any two points on the line.
In the following graph, the rise from point P to point Q is 2 and the run from point P to point Q is 4.
Take note that the slope obtained would be the same no matter which two points on the line were selected to determine the rise and the run.
A horizontal line has a slope of zero. A vertical line has an undefined slope.
A line with a positive slope slant upwards, whereas a line with a negative slope slant downwards.How to find the slope of a line using the ratio of rise over run between any two points on the line?
Slope can also be calculated as the ratio of the change in the y-value over the change in the x-value.
Given any two points on a line, (x1, y1) and (x2, y2), we can calculate the slope of the line by using this formula:
For example: Given two points, P = (0, –1) and Q = (4,1), on the line we can calculate the slope of the line.
slope = =
Let's look at a line that has a negative slope.
For example: Consider the two points, R(–2, 3) and S(0, –1) on the line. What would be the slope of the line?
slope = =How to find the slope of the line that passes through two points when given the coordinates of the points?
The y-intercept is where the line intercepts (meets) the y-axis.
In the following diagram, the line intercepts the y-axis at (0,–1). Its y-intercept is equal to –1.
Equation of a straight line can be written in slope-intercept form.
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