Flashcard Review - Point-Slope, Slope Intercept, Standard

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 identify the slope (m) in the equation y - 3 = 2(x + 4)?

Back

The slope (m) is the coefficient of x in the equation, which is 2.

Front

What does the point-slope form of a linear equation look like?

Back

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

Front

How can you convert the point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx + (y1 - mx1).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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 is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you write the equation of a line in standard form given two points?

Back

First, find the slope using the two points, then use the point-slope form to write the equation, and finally rearrange it to standard form.

Front

What is the relationship between parallel lines in terms of slope?

Back

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

Front

What is the relationship between perpendicular lines in terms of slope?

Back

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