Slope and Slope Intercept 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 slope-intercept form of a linear equation, which is given by the formula: m = (change in y) / (change in x).

Front

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

Back

The slope-intercept form of a linear equation is given by the formula: y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you find the y-intercept of a line from its equation?

Back

To find the y-intercept of a line from its equation in slope-intercept form (y = mx + b), identify the value of 'b'. This value represents the point where the line crosses the y-axis.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down and does not have a defined slope value.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it runs parallel to the x-axis and does not rise or fall.

Front

How do you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables, which can be applied in various contexts such as speed, cost, and growth rates.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle with the x-axis.

Front

What is the y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5, which means the line crosses the y-axis at the point (0, 5).

Front

How do you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.