Warm-Up 11/6

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 as (0, b) in the equation y = mx + b.

Front

How do you evaluate a function at a specific point, for example, f(1) if f(x) = 2x + 1?

Back

To evaluate f(1), substitute 1 for x in the function: f(1) = 2(1) + 1 = 3.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the y-value with respect to the x-value, calculated as m = (y2 - y1) / (x2 - x1).

Front

How do you find the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in the y-value as the x-value changes.

Front

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

Back

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

Front

How do you evaluate f(-2) if f(x) = x + 3?

Back

To evaluate f(-2), substitute -2 for x: f(-2) = -2 + 3 = 1.

Front

What is the definition of slope in the context of a linear function?

Back

Slope is defined as the ratio of the vertical change to the horizontal change between two points on a line.

Front

What does it mean if a line has a slope of 0?

Back

A line with a slope of 0 is horizontal, meaning there is no vertical change as the x-value changes.

Front

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

Back

The y-intercept indicates the value of y when x is 0, providing a starting point for the graph of the equation.

Front

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

Back

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