Identify Slope and Y-Intercept from a Graph

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 equation of a line in slope-intercept form?

Back

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

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

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

Back

In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is represented by 'b'.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope of the line is 2.

Front

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

Back

The y-intercept of the line is 4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How can you determine the slope from two points on a graph?

Back

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

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.