How do you determine if two lines are parallel?

Two lines are parallel if they have the same slope but different y-intercepts.

How do you determine if two lines are perpendicular?

Two lines are perpendicular if the product of their slopes is -1, meaning one slope is the negative reciprocal of the other.

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

The point-slope form of a linear equation is expressed as $$y - y1 = m(x - x1)$$ , where m is the slope and (x1, y1) is a point on the line.

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

To write the equation of a line given a point (x1, y1) and a slope m, use the point-slope form: $$y - y1 = m(x - x1)$$ .

What is the significance of the coefficients in the standard form of a linear equation?

In the standard form $$Ax + By = C$$ , A, B, and C represent the relationship between x and y, and A and B cannot both be zero.

How do you graph a linear equation?

To graph a linear equation, find the x-intercept and y-intercept, plot these points on the coordinate plane, and draw a line through them.

What is the relationship between the slope and the angle of a line?

The slope of a line is the tangent of the angle (θ) it makes with the positive x-axis, expressed as $$m = \tan(θ)$$ .

How do you find the x-intercept of a linear equation?

To find the x-intercept of a linear equation, set y = 0 and solve for x.

(U6|L7 WU) Writing Linear Equations Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

What does it mean for a line to be vertical?

Back

4.

FLASHCARD QUESTION

Front

What does it mean for a line to be horizontal?

Back

5.

FLASHCARD QUESTION

Front

How do you convert the slope-intercept form to standard form?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

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