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 can you identify the slope from the equation of a line in slope-intercept form?

Back

In the slope-intercept form of a line, y = mx + b, the slope (m) is the coefficient of x.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

The y-intercept is the value of b in the equation y = mx + b.

Front

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

Back

The slope of the line is 3.

Front

What is the y-intercept of the equation y = -2x + 7?

Back

The y-intercept is 7.

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.

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 do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y = -rac{1}{4}x + 2?

Back

The slope of the line is -rac{1}{4}.