Exploring Point-Slope Form in Algebra

What is the general form of the slope-intercept equation?

• y = m(x - x1) + y1

• y = m(x + x1) - y1

• y = mx - b

• y = mx + b

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What information do you need to use the point-slope form?

• The x-intercept and the slope

• Two points on the line

• The slope and a point on the line

• The y-intercept and the slope

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In the point-slope form, what does 'm' represent?

• The slope of the line

• The x-intercept

• The y-intercept

• A point on the line

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How is the point-slope form derived?

• From the midpoint formula

• From the x-intercept

• From the y-intercept

• From the definition of slope

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Given a point (-1, 3) and a slope of -1/4, what is the equation of the line in point-slope form?

• y + 3 = 1/4(x - 1)

• y - 3 = 1/4(x + 1)

• y + 3 = -1/4(x - 1)

• y - 3 = -1/4(x + 1)

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What is the slope of the line given by the equation y = 2/3x + 1?

• 2/3

• 1/2

• 1

• 3/2

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Which point does the line y = 2/3(x + 1) pass through?

• (2, -1)

• (-1, 2)

• (-1, -2)

• (1, -1)

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How do you graph a line using the point-slope form?

• Find the y-intercept and plot it

• Find the x-intercept and plot it

• Plot the given point and use the slope to find another point

• Plot the midpoint and use the slope to find another point

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What is the advantage of using point-slope form over slope-intercept form?

• It requires less calculation

• It is easier to find the y-intercept

• It is easier to find the x-intercept

• It is more straightforward when given a point and a slope

Why might point-slope form be preferred in calculus?

• It simplifies integration

• It simplifies differentiation

• It is more versatile for various problems

• It is easier to remember

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