How do you find the y-intercept from the equation $$y = mx + b$$ ?

In the equation $$y = mx + b$$ , the y-intercept is the value of b.

How do you write the equation of a line given a slope and a point?

Use the point-slope form: $$y - y_1 = m(x - x_1)$$ , substituting the slope (m) and the coordinates of the point (x_1, y_1).

What is the relationship between parallel lines in terms of slope?

Parallel lines have the same slope but different y-intercepts.

What is the relationship between perpendicular lines in terms of slope?

Perpendicular lines have slopes that are negative reciprocals of each other. If one line has a slope m, the other has a slope $$-\frac{1}{m}$$ .

How do you convert the equation $$y = mx + b$$ to standard form?

To convert to standard form, rearrange the equation to the form $$Ax + By = C$$ , where A, B, and C are integers.

What is the standard form of a linear equation?

The standard form of a linear equation is given by: $$Ax + By = C$$ , where A, B, and C are integers and A is non-negative.

How do you identify the slope and y-intercept from the equation $$y = 2x + 3$$ ?

In the equation $$y = 2x + 3$$ , the slope (m) is 2 and the y-intercept (b) is 3.

What is the point-slope form of the line passing through (1, 2) with a slope of 3?

The point-slope form is: $$y - 2 = 3(x - 1)$$ .

How do you find the equation of a line given two points?

First, calculate the slope using the two points, then use one of the points in the point-slope form to find the equation.

Forms of Linear Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

5.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear equation?

Back

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

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

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