Algebra 1 QSE #2 Review 24-25

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What is the y-intercept of the line represented by the equation y = -2x - 5?

Back

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

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the equation y - y1 = m(x - x1) to get y = mx + (y1 + m(-x1)).

Front

What is the meaning of the term 'domain' in a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the reasonable domain for the function f(x) = 2x + 5 in the context of parking fees?

Back

The reasonable domain is {0, 1, 2, 3, 4, 5,...}, representing the number of hours parked.

Front

How do you determine if two linear equations represent the same line?

Back

Two linear equations represent the same line if they can be transformed into each other through algebraic manipulation.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a cost function, it indicates how much the cost increases per unit increase in hours.