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' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find 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-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 (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is a horizontal line?

Back

A horizontal line has a slope of 0 and can be represented by the equation y = b, where b is a constant.

Front

What is a vertical line?

Back

A vertical line has an undefined slope and can be represented by the equation x = a, where a is a constant.

Front

If m = 3 and b = 6, what is the equation of the line?

Back

The equation of the line is y = 3x + 6.

Front

How do you determine if a line is vertical or horizontal from its equation?

Back

If the equation is in the form y = b, it is horizontal. If it is in the form x = a, it is vertical.

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 does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing, meaning as x increases, y decreases.