WU 2.4C: Linear Key Features

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you determine the slope of a horizontal line?

Back

The slope of a horizontal line is zero because there is no change in the y-coordinate as the x-coordinate changes.

Front

What does it mean if a line has an undefined slope?

Back

A line has an undefined slope if it is vertical, meaning it does not change in the x-coordinate as the y-coordinate changes.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, which occurs when the y-coordinate is zero.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, which occurs when the x-coordinate is zero.

Front

How can you find the x-intercept from a linear equation?

Back

To find the x-intercept, set y to zero in the equation and solve for x.

Front

How can you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x to zero in the equation and solve for y.

Front

What is the significance of the zero of a graph?

Back

The zero of a graph (or root) is the value of x for which the function equals zero, indicating where the graph intersects the x-axis.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

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