Semester 1 Review

Front

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

Back

The slope-intercept form of a linear equation is given by the formula: y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 4x + y = 10 to slope-intercept form.

Back

y = -4x + 10.

Front

What is the difference between discrete and continuous data?

Back

Discrete data consists of distinct, separate values (e.g., counts), while continuous data can take any value within a range (e.g., measurements).

Front

Identify the domain and range of a discrete graph with points (-5, -4), (-2, 1), and (2, 3).

Back

Domain: {-5, -2, 2}; Range: {-4, 1, 3}.

Front

What is the value of f(4) for the function f(x) = 2x + 3?

Back

f(4) = 2(4) + 3 = 11.

Front

What does the slope of a graph represent?

Back

The slope represents the rate of change of the y-value with respect to the x-value.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the inequality that represents the area above the line y = -2x + 4?

Back

y > -2x + 4.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = -4x + 10?

Back

The y-intercept is 10.