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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.
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