Point-Slope Form

The point-slope form of a linear equation is given by: $$y - y_1 = m(x - x_1)$$ , where (x_1, y_1) is a point on the line and m is the slope.

In the point-slope form $$y - y_1 = m(x - x_1)$$ , the slope m is the coefficient of (x - x_1).

The point (x_1, y_1) represents a specific point on the line described by the equation.

To convert from point-slope form $$y - y_1 = m(x - x_1)$$ to slope-intercept form $$y = mx + b$$ , solve for y.

The slope of the line is 2.

The point-slope form is $$y - 5 = -3(x - 2)$$ .

First, calculate the slope m using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ , then use one of the points in the point-slope form.

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

The point-slope form is $$y - 4 = 1(x - 3)$$ .

The point-slope form is $$y - 1 = -2(x - 5)$$ .