Algebra 1 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'. It is calculated as the change in y (rise) divided by the change in x (run) between two points on the line.

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 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

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

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 type of line does the equation y = 10 represent?

Back

This represents a horizontal line.

Front

What is the y-intercept of the equation y = 2x - 3?

Back

The y-intercept is -3.

Front

What is the slope of a line that passes through the points (-4, 2) and (6, 8)?

Back

Front

What slope is perpendicular to m = 5/8?

Back

Front

What is the formula for the slope of a line in point-slope form?

Back

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