Point-slope form is a specific form of linear equations in two variables. It is used to write the equation of a line when you have the slope of the line and a point on the line (that is not the y-intercept). The general form of point-slope equation is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.

Point-slope form emphasizes the slope of the line and a point on the line. It is derived from the slope formula. The equation is useful when you want to find other points on the line.

To use point-slope form, you need to know the slope of the line and a point on the line. You can then plug in the values of the slope and the point into the point-slope equation to get the equation of the line.

Point-slope form is related to slope-intercept form, which is another way to write the equation of a line. Slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.

In summary, point-slope form is a specific way to write the equation of a line when you have the slope of the line and a point on the line (that is not the y-intercept). The general form of point-slope equation is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.