Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (vertical change) to the run (horizontal change). It is often represented as 'm' in the slope-intercept form of a line, y = mx + b.

Front

How do you find the solution to a system of equations?

Back

To find the solution to a system of equations, you can use methods such as graphing, substitution, or elimination. The solution is the point where the graphs of the equations intersect.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of how far they are extended.

Front

What is the slope-intercept form of a line?

Back

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.

Front

How do you graph a linear equation?

Back

To graph a linear equation, you can find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through the points.

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form y = mx + b.

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant. A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

How do you determine if a point is a solution to a system of equations?

Back

To determine if a point is a solution to a system of equations, substitute the x and y values of the point into each equation. If the point satisfies all equations, it is a solution.

Front

What is the significance of the intersection point of two lines?

Back

The intersection point of two lines represents the solution to the system of equations formed by those lines, indicating the values of x and y that satisfy both equations.

Front

What is the formula for finding the slope between two points?

Back

The formula for finding the slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).