Slope/Linear Equation Flashcard Review

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 (rise) over the change in x (run).

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. To find it, set x = 0 in the equation and solve for y.

Front

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

Back

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

Front

What does 'HOY ~ VUX' represent in slope terminology?

Back

'HOY ~ VUX' indicates horizontal and vertical lines. A horizontal line has a slope of 0, while a vertical line has an undefined slope.

Front

How do you convert the equation 5x - 2y = 12 to slope-intercept form?

Back

To convert, solve for y: y = (5/2)x - 6.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 3/2, what does this indicate about its steepness?

Back

A slope of 3/2 indicates that for every 2 units moved horizontally, the line rises 3 units vertically, making it relatively steep.