Flashcard 3.4-3.5 Big Ideas Algebra I

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, represented as (x, 0).

Front

How do you find the slope of a line given 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 (m) represent in the equation y = mx + b?

Back

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

Front

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

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

How can you determine if a line is increasing or decreasing based on its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the significance of the coefficients in the equation of a line?

Back

The coefficients determine the slope and y-intercept of the line, affecting its steepness and position.

Front

What is the graphical representation of the equation y = -2x + 1?

Back

The graph is a straight line with a slope of -2 and a y-intercept of 1.