7.2 Intro Checkpoint

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

How do you find the slope (m) 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 y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

Given the points (-6, -19) and (2, 5), what is the slope of the line?

Back

The slope is m = (5 - (-19)) / (2 - (-6)) = 24 / 8 = 3.

Front

What is the equation of a line with slope 2 that passes through the point (0, 3)?

Back

The equation is y = 2x + 3.

Front

How do you convert the equation y = 3x - 1 into standard form?

Back

To convert to standard form, rearrange to 3x - y = 1.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope is -3.

Front

If a line has a slope of 4 and passes through the point (-2, 5), what is its equation?

Back

The equation is y = 4x + 13.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.