What does the y-intercept (b) represent in a linear equation?

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

How do you convert from Slope-Intercept Form to Standard Form?

Rearrange the equation to get all terms involving x and y on one side and the constant on the other side.

What is the first step in converting an equation to Standard Form?

Ensure that all variables are on one side of the equation and the constant is on the other side.

If a line has a slope of 2, what does this mean?

For every 1 unit increase in x, y increases by 2 units.

What is the significance of the coefficients A and B in Standard Form?

A and B indicate the direction and steepness of the line; A affects the x-direction and B affects the y-direction.

What is the relationship between the slopes of parallel lines?

Parallel lines have the same slope.

What is the relationship between the slopes of perpendicular lines?

Perpendicular lines have slopes that are negative reciprocals of each other.

Standard Form and Slope Intercept 2 Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is Standard Form in linear equations?

Back

Standard Form is a way of writing linear equations in the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.

2.

FLASHCARD QUESTION

Front

Convert the equation $y = -3x + 6$ to Standard Form.

Back

3x + y = 6

3.

FLASHCARD QUESTION

Front

Convert the equation $y = 2x + 3$ to Standard Form.

Back

2x - y = -3

4.

FLASHCARD QUESTION

Front

What is Slope-Intercept Form?

Back

Slope-Intercept Form is a way of writing linear equations in the format y = mx + b, where m is the slope and b is the y-intercept.

5.

FLASHCARD QUESTION

Front

Convert the equation $5x + 2y = -12$ to Slope-Intercept Form.

Back

y = -\frac{5}{2}x - 6

6.

FLASHCARD QUESTION

Front

Convert the equation $-4x - y = -3$ to Slope-Intercept Form.

Back

y = -4x + 3

7.

FLASHCARD QUESTION

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

9.

FLASHCARD QUESTION

Front

Convert the equation $y = -\frac{3}{4}x + 5$ to Standard Form.

Back

3x + 4y = 20

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