Math 3 Lessons 2.8 to 2.12 Flashcard 2024

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the y-intercept in the equation y = 1/3x - 2?

Back

The y-intercept is -2, which is the point where the line crosses the y-axis.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values.

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the constant ratio (k) between y and x, expressed as y = kx.

Front

How do you graph the equation y = 1/3x - 2?

Back

Start at the y-intercept (-2) on the y-axis, then use the slope (1/3) to find another point by going up 1 unit and right 3 units.

Front

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

Back

The slope is 2.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.