Flashcard 5.1-5.4 Review

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b.

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the slope of the line represented by the equation y = -2x + 8?

Back

The slope is -2.

Front

What is the y-intercept of the equation y = -2x + 8?

Back

The y-intercept is 8.

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you convert the equation y + 1 = -1/3(x - 2) to slope-intercept form?

Back

To convert, solve for y: y = -1/3(x - 2) - 1.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.