The slope of a line can be found directly
when a linear equation is in slope-intercept form (y = mx + b). In this form, the slope is the coefficient of x and is represented by the letter m.
In this example, the slope-intercept form of the equation is y = 3x + 2. Therefore, we can tell that the slope is 3.
The slope of a line can also be found by determining the ratio
of the "rise" to the "run" between two points on the graph. In other words, slope measures how much
the line rises vertically given a particular run or horizontal distance. In this
particular example, we have .