Linear Functions

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/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 slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

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

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = k, where k is a constant.

Front

Which equation represents the line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

What is the difference between slope-intercept form and point-slope form?

Back

Slope-intercept form is y = mx + b, while point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Front

What does a positive slope indicate about a line?

Back

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