Find the equation of a line in slope-intercept form

The slope-intercept form of a line is given by the equation $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

The slope $$m$$ can be calculated using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ , where (x1, y1) and (x2, y2) are two points on the line.

The y-intercept is the point where the line crosses the y-axis. It is represented by the value $$b$$ in the slope-intercept form $$y = mx + b$$ .

To graph a line in slope-intercept form, start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point on the line.

The equation of the line is $$y = 2x - 3$$ .

A slope of -1 indicates that the line falls as it moves from left to right, meaning for every unit increase in x, y decreases by 1 unit.

To convert to standard form, rearrange the equation to $$3x - y = -4$$ .

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.