We can apply the slope formula to find the slope of any straight line, in case it is not given directly and other relevant data is provided. Step 1: Note down the y-intercept, 'b', and the slope of the line as 'm'. The steps to find the equation of a line using the slope-intercept form are given below, Any line can be determined uniquely using these two parameters. where the line passes through with reference to the axes we can specify the placement of the line by specifying the point on the y-axis through which the line passes, or in other words, by specifying the y-intercept, b). To find the equation of a line with an arbitrary inclination, we would need two quantities: the inclination of the line (or its slope or the angle, θ, it makes with say, the x-axis) and the placement of the line (i.e. Straight-Line Equation Using Slope Intercept Form Solution: We re-arrange the equation of the line to write it in the standard form y = mx + b.Īnswer: The slope of the given straight line, m = -3/4 and the y-intercept, b = -5/4. Determine the slope and y-intercept of the line using the slope intercept form. Here's an example to understand the application of slope intercept formula.Įxample : The equation of a line is 3x + 4y + 5 = 0. Note: The slope-intercept formula cannot be applied to find the equation of a vertical line. X and y have to be kept as the variables while applying the above formula. (x, y) represent every point on the line.Using the slope-intercept formula, the equation of the line is: Let us learn the slope-intercept formula with a few solved examples. The slope-intercept formula is one of these formulas which is used when we know the slope of the straight line, which is denoted by m, and the y-intercept of the straight line, which is denoted by b or (0, b). 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. the coordinates of any point not on the line will not satisfy.the coordinates of any point on the line must satisfy.The equation of a straight line will be that relation which: The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. What is Slope Intercept Form of a Straight Line?
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