Equations: Identify 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, the slope is represented by the coefficient of x in the equation y = mx + b, where m is the slope.

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 y when x is 0.

Front

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

Back

The y-intercept can be identified as the constant term b in the equation y = mx + b.

Front

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

Back

The slope of the line is 3.

Front

What is the y-intercept of the line described by the equation y = -5x + 4?

Back

The y-intercept of the line is 4.

Front

How do you find the slope from the equation y = 2x - 7?

Back

The slope is the coefficient of x, which is 2.

Front

What is the slope of the line represented by the equation y = -rac{1}{3}x + 6?

Back

The slope of the line is -rac{1}{3}.

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.