Point Slope Intercept Practice

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating where to start graphing the line.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is represented as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert, solve for y in terms of x, isolating y on one side of the equation.

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating the steepness and direction of the line.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is represented as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you identify the slope from the equation y = -3x + 4?

Back

The slope is -3, which indicates the line decreases as x increases.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

How can you find the y-intercept from the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates.