Linear Functions Flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you calculate 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 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

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Find the slope of the line passing through the points (6, 8) and (2, 4).

Back

The slope is 1.

Front

Find the slope of the line passing through the points (2, 5) and (4, 9).

Back

The slope is 2.

Front

Graph the line y = 2x - 1.

Back

The line can be graphed as a straight line with a slope of 2 and a y-intercept of -1.

Front

Find the y-intercept of the line with a slope of -3 and passing through the point (0, 7).

Back

The y-intercept is 7.

Front

Write the equation of a line with a slope of 2 and a y-intercept of -1.

Back

The equation is y = 2x - 1.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.