Slope, Intercepts, Linear Equations, and Real-World Concepts

Front

What is the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, meaning the value of y is 0.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you find the slope between two points?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would require division by zero.

Front

How do you determine the x-intercept from an equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the formula for the slope-intercept form of a line?

Back

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