How do you convert the equation $$-2x + 8y = 2$$ to slope-intercept form?

Rearranging gives $$y = \frac{1}{4}x + \frac{1}{4}$$ .

What is the formula to find the slope of a line given two points (x1, y1) and (x2, y2)?

The slope m is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What is the perpendicular slope of a line with slope $$\frac{3}{4}$$ ?

The perpendicular slope is $$-\frac{4}{3}$$ .

What does it mean for two lines to be parallel?

Two lines are parallel if they have the same slope and will never intersect.

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

How do you determine the range of a function?

The range is the set of all possible output values (y-values) that a function can produce.

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

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

What is the general form of a linear equation?

The general form of a linear equation is $$Ax + By + C = 0$$ , where A, B, and C are constants.

How can you identify a linear function from a table of values?

A linear function will have a constant rate of change between the x-values and y-values.

Alg2 2.1-2.4 REVIEW Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the domain of a function?

Back

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

2.

FLASHCARD QUESTION

Front

What variable typically represents the range of a function?

Back

The range of a function is typically represented by the variable y.

3.

FLASHCARD QUESTION

Front

How do you find the x-intercept of an equation?

Back

To find the x-intercept, set y to 0 and solve for x.

4.

FLASHCARD QUESTION

Front

Back

The x-intercept is (7, 0).

5.

FLASHCARD QUESTION

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

Back

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