Slope and Y-Intercept

Front

What is the definition of slope in a linear equation?

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

How is the slope represented in the slope-intercept form of a linear equation?

Back

In the slope-intercept form, y = mx + b, the slope is represented by 'm'.

Front

What does the y-intercept represent 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

How can you find the y-intercept from the equation y = mx + b?

Back

The y-intercept can be found directly as the value of 'b' in the equation y = mx + b.

Front

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

Back

The slope of the line is 4.

Front

Given the equation y = 3/2x + 3, what are the slope and y-intercept?

Back

The slope is 3/2 and the y-intercept is (0, 3).

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope of the line is -5/3.

Front

In the equation y = -2x + 5, what is the y-intercept?

Back

The y-intercept is 5.

Front

In the equation y = mx + b, which letter represents the y-intercept?

Back

The letter 'b' represents the y-intercept.