Topic 2 Part 2 Review

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If m = -3 and b = 7, what is the equation of the line?

Back

The equation is y = -3x + 7.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope, indicating how much y changes for a unit change in x.

Front

How can you find the rate of change from the equation y = 15 - 4.5x?

Back

The rate of change is -4.5, which is the coefficient of x in the equation.

Front

What two components are needed to write a linear equation?

Back

You need the rate (slope) and the y-intercept.

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 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.