There are different formulas available to find the equation of a straight line. The slope-intercept formula is used to find the slope, the y-intercept, the x-intercept, or the equation of a straight line given the requisite parameters. Let us have a look at the slope-intercept formula and its derivation for a better understanding of the concept. Also, in the case when we are given two points (x 1, y 1) and (x 2, y 2) lying on the straight line, the slope can be given as: (y 2 - y 1)/(x 2 - x 1).
Note: The slope of the line for which angle of inclination, θ is given can be calculated as tan θ. The equation of a line with slope (2) and passing through origin(y-intercept = 0) is given as: y = 2x.The equation of a line with slope (-1) and y-intercept (4) is found using: y = -x + 4.Some examples of the slope intercept form are shown here. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b. Let us consider a straight line of slope 'm' and y-intercept 'b'.
For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. The slope-intercept form of a straight line is used to find the equation of a line. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis. The determination of this equation is straightforward.
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