Slope and Equation of Lines

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 (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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 'b' in the equation of a line (y = mx + b).

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 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

What does it mean for a line to be vertical?

Back

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

Front

What does it mean for a line to be horizontal?

Back

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

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x, which represents a straight line with a slope of 1 and a y-intercept of 0.

Front

How does a vertical shift affect the equation of a line?

Back

A vertical shift changes the y-intercept (b) in the equation y = mx + b, moving the line up or down.

Front

What is the effect of a horizontal stretch or compression on a linear function?

Back

A horizontal stretch or compression affects the slope (m) of the line, making it less steep or steeper.