Writing the Equation of a Line Given the Slope and a Point

Writing the Equation of a Line Given the Slope and a Point

Assessment

Flashcard

Mathematics

8th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

2.

FLASHCARD QUESTION

Front

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

Back

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

3.

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.

4.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

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

5.

FLASHCARD QUESTION

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

6.

FLASHCARD QUESTION

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because it does not have a change in x (the denominator would be zero).

7.

FLASHCARD QUESTION

Front

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

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

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