Explanation:
When you compare the two ways of writing a line, you might notice that there are some similarities. Both retain a y variable, an x variable and the slope of the line. So all you really need to get from point-slope form to slope-intercept form is a little algebraic manipulation. Consider the example given of a line in point-slope form: y + 5 = 3(x – 2).
Distribute x- Use the distributive property to simplify the right side of the equation:
Isolate the y Variable- Subtract 5 from both sides of the equation to isolate the y variable, which gives you the equation in point-slope form: