4.1-4.3 MINOR

The slope of a line parallel to $$y = 2x + 3$$ is 2.

To find the equation of a line parallel to a given line, use the same slope as the given line and apply the point-slope form: $$y - y_1 = m(x - x_1)$$ .

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

The slope of a line perpendicular to $$y = -\frac{5}{2}x + 2$$ is $$\frac{2}{5}$$ .

To determine the slope from the standard form $$Ax + By = C$$ , rearrange it to slope-intercept form $$y = mx + b$$ , where $$m$$ is the slope.

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

To convert $$5x + 2y = 1$$ to slope-intercept form, solve for $$y$$ : $$2y = -5x + 1$$ , then $$y = -\frac{5}{2}x + \frac{1}{2}$$ .

The y-intercept of the line $$y = 3x - 4$$ is -4.

The equation in point-slope form is $$y - 2 = 3(x - 1)$$ .

Two lines are parallel if they have the same slope and will never intersect.