Where, \((-\frac+ 3\) Exercises for Converting Standard Form to Slope-Intercept Form Write the standard form equation of a line in slope-intercept form. Rearranging the terms to find the value of \(y\), we get, We know that the standard form of the equation of a straight line represents as follows: How to convert standard form to slope-intercept form?īy rearranging and comparing, we can convert the equation of a line given in the standard form to slope-intercept form. 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’s consider a straight line of slope \(m\) and \(y\)-intercept \(b\). For the slope-intercept formula, we need to know the slope of the line and the intercept cut by the line with the \(y\)-axis. Example: A line is inclined at an angle of 60° to the horizontal, and passes through the point (0, - 1). Step 2: Apply the slope intercept formula: y mx + b. The slope-intercept form of a straight line is used to find the equation of a line. 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. Where \(A, B\), and \(C\) are integers, and the letters \(x\) and \(y\) are the variables. The standard form of linear equations is also known as the general form and is represented as: Converting Standard Form to Slope-Intercept Form Example 1: Write the following standard form equation of a line in slope-intercept form. There are several ways to find this equation in a straight line, as follows: Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. The equation of a line is the equation that is satisfied by each point that lies on that line. Explore math with our beautiful, free online graphing calculator.
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