Graphing Slope-Intercept Form 2

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the 'm' in the equation y = mx + b represent?

Back

The 'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

What does the 'b' in the equation y = mx + b represent?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables, such as speed, cost, or growth.

Front

How can you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between perpendicular lines and their slopes?

Back

Perpendicular lines have slopes that are negative reciprocals of each other (m1 * m2 = -1).

Front

How can you convert 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 y-intercept of the equation 2x + 3y = 6?

Back

To find the y-intercept, set x = 0. The equation becomes 3y = 6, so y = 2. The y-intercept is (0, 2).