Identifying 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, 'm' represents the slope of the line.

Front

What is the definition of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form y = mx + b.

Front

How can you find the y-intercept from a linear equation in slope-intercept form?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

The slope of the line is 3.

Front

What is the y-intercept of the equation y = -4x + 7?

Back

The y-intercept of the equation is 7.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.