Extra Credit Lesson 4 Point-Slope Form of a Line

What information is required to write the equation of a line in slope-intercept form?

• The slope and any point on the line.

• The slope and the y-intercept.

• The x-intercept and the y-intercept.

• Two arbitrary points on the line.

What information is sufficient to write the equation of a line using the method discussed in this lesson?

• The slope and the y-intercept.

• The slope and any point that lies on the line.

• Two points that lie on the line.

• The x-intercept and the y-intercept.

A line passes through point A (5, 7) and point B (-3, 1). What is the slope of this line?

• 3/4

• -3/4

• 4/3

• -4/3

Given a line with a slope of 3/4 that passes through point (5, 7), and an arbitrary point (x, y) on the line, which equation correctly represents the relationship between these points and the slope?

• (y - 5) / (x - 7) = 3/4

• (y - 7) / (x - 5) = 3/4

• (x - 5) / (y - 7) = 3/4

• (x - 7) / (y - 5) = 3/4

What is the slope and a point on the line represented by the equation y - 7 = (3/4)(x - 5)?

• Slope = 3/4, Point = (5, 7)

• Slope = 3/4, Point = (-5, -7)

• Slope = 4/3, Point = (5, 7)

• Slope = 3/4, Point = (-7, -5)

Convert the equation y - 7 = (3/4)(x - 5) into slope-intercept form (y = mx + b).

• y = (3/4)x + 7

• y = (3/4)x - 15/4

• y = (3/4)x + 13/4

• y = (3/4)x - 13/4

What is the y-intercept of the line represented by the equation y = (3/4)x + 13/4?

• 7

• -5

• 13/4

• 3/4

Write the equation of a line in point-slope form given a slope (m) of -3 and a point (-5, 9).

• y - 9 = -3(x - 5)

• y + 9 = -3(x + 5)

• y - 9 = -3(x + 5)

• y + 9 = -3(x - 5)

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What is the correct point-slope form equation for a line with slope m = 5/2 and passing through the point (-2, -10)?

• y - 10 = 5/2(x - 2)

• y + 10 = 5/2(x + 2)

• y - 2 = 5/2(x - 10)

• y + 2 = 5/2(x + 10)