Algebra-1 flashcard_dr_slope_linearA

Front

What is the rate of change in the equation y = -4x - 5?

Back

-4

Front

What is the domain and range of a linear function representing a workout time of 50 minutes?

Back

Domain: All real numbers greater than or equal to 0 and less than or equal to 50; Range: All real numbers greater than or equal to 0 and less than or equal to 100.

Front

In the equation y = 7 - 14x, what is the rate of change?

Back

-14

Front

What are the domain and range of g(x) = -1/4(x - 17)^2 + 61?

Back

Domain: All real numbers; Range: g(x) ≤ 61.

Front

What is the rate of change of the line represented by the slope -1/4?

Back

-1/4

Front

Define 'slope' in the context of a linear equation.

Back

The slope is the measure of the steepness of a line, represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is 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.