Review Finding Slope and y - intercept

Front

What is the definition of slope in a linear function?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does the letter 'm' represent in the equation y = mx + b?

Back

The letter 'm' represents the slope of 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 in 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

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right, meaning for every 2 units the line goes down, it goes 1 unit to the right.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope of the line is 3.

Front

If the slope of a line is 0, what can be said about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the points (2, 3) and (4, 7), what is the slope of the line connecting these points?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What is the formula for 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.