Ch 4 Review

Front

What is the slope of a line parallel to y = -6x + 3?

Back

The slope of a line parallel to y = -6x + 3 is -6.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the explicit rule for the sequence defined by the first term 6 and a common difference of 5?

Back

The explicit rule is a(n) = 6 + 5(n - 1).

Front

How do you evaluate a function g(x) at a specific point, such as g(7)?

Back

To evaluate g(7), substitute 7 into the function g(x) and simplify.

Front

What is the point-slope form of a line given a slope and a point?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

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

Back

A line is increasing if the slope is positive and decreasing if the slope is negative.

Front

What is the formula for finding the slope of a line given two points?

Back

The formula is 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 as (0, b) in the equation y = mx + b.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the equation y - y1 = m(x - x1) to get y = mx + b.