Convert the Point-Slope form to Slope-Intercept form: $$y - 5 = -3(x - 10)$$

The Slope-Intercept form is $$y = -3x + 35$$ .

What is the y-intercept of the line $$y = 2x + 3$$ ?

The y-intercept is 3, which is the value of $$y$$ when $$x = 0$$ .

What does it mean if two lines are parallel?

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

What does it mean if two lines are perpendicular?

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

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3.

The equation is $$y - 5 = -3(x - 10)$$ .

Find the slope of the line that passes through the points (1, 2) and (4, 5).

The slope is $$\frac{5 - 2}{4 - 1} = \frac{3}{3} = 1$$ .

What is the standard form of a linear equation?

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

Linear Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

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

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

5.

FLASHCARD QUESTION

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

6.

FLASHCARD QUESTION

Front

What is the Point-Slope form of a linear equation?

Back

7.

FLASHCARD QUESTION

Front

Back

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