Topic 2 Flashcardizz

Parallel lines are lines in a plane that do not intersect or touch each other at any point. In terms of linear equations, two lines are parallel if they have the same slope.

The slope-intercept form of a line is given by the equation y = mx + b, where m represents the slope. To find the slope, identify the coefficient of x.

The y-intercept is the point where the line crosses the y-axis. In the slope-intercept form y = mx + b, the y-intercept is represented by b.

To find the y-intercept from a standard form equation Ax + By = C, set x = 0 and solve for y.

Shifting a graph vertically means moving it up or down on the coordinate plane. For example, adding a constant to the function shifts the graph up, while subtracting a constant shifts it down.

The slopes of two parallel lines are equal.

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

The point-slope form of a linear equation is useful for writing the equation of a line when you know a point on the line and the slope. It is given by y - y1 = m(x - x1).

To determine if two lines are parallel, compare their slopes. If the slopes are equal, the lines are parallel.

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y in terms of x.