The point-slope form is a way to represent the equation of a straight line using its slope and a point on the line.
In Point Form:
- Definition: A linear equation in two variables.
- Formula: y – y1 = m(x – x1), where m is the slope and (x1, y1) is a point on the line.
- Use: Finding the equation of a line when you know the slope and a point.
- Slope: m = (y – y1) / (x – x1).
- Rearranging the Slope Formula: y − y1 = m(x − x1).
The point-slope form is a useful way to express the equation of a line. It is written as y – y1 = m(x – x1), where ‘m’ represents the slope of the line and (x1, y1) is a known point on the line. This form is derived from the slope formula and allows you to easily write the equation of a line if you know its slope and any point it passes through. You can then simplify the equation to find other forms, such as slope-intercept form (y = mx + b). The point-slope form is a fundamental concept in algebra and is used to solve various problems related to linear equations.
YouTube Video Links:
- Point Slope Form – Basic Introduction – Algebra: https://www.youtube.com/watch?v=yoHs1h5qtuQ [10]