Linear Equations

A linear equation is an equation that makes a straight line when graphed. It can be written in the form $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is.

The slope (m) is calculated using the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

The slope is $$-1/4$$ .

The slope is $$2$$ .

An undefined slope occurs in a vertical line where the change in x is zero, making the slope formula result in division by zero.

The y-intercept is the value of $$y$$ when $$x = 0$$ , represented by $$b$$ in the equation.

The formula for finding the slope is $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

The slope is $$5$$ .

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.