EOA Unit 4 Flashcard (LT 1-8)

Front

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

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert an 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 does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the x-intercept of a line?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the equation of a line with a slope of 1 that passes through the point (2, 3)?

Back

The equation is y = 1(x - 2) + 3, which simplifies to y = x + 1.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance (d) is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

What does the term 'intercept' refer to in graphing?

Back

An intercept refers to the points where a line crosses the axes: x-intercept (where y=0) and y-intercept (where x=0).