Slope & Y-intercept

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) where b is the value of the y-coordinate.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

How do you find the slope of a line given two points?

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.

Front

What is the slope of the line represented by the equation y = 4/5x + 1?

Back

The slope of the line is 4/5.

Front

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

Back

The y-intercept is (0, 3).

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive. If it falls from left to right, the slope is negative.

Front

What is the y-intercept of the graph of the equation y = 2x - 4?

Back

The y-intercept is (0, -4).