Understanding Point-Slope Form of a Line

This video tutorial explains the point-slope form of a line equation, which is expressed as y - y1 = m(x - x1). The instructor demonstrates how to write equations using given slopes and points, and how to identify the slope and point from an equation. Two examples are provided to illustrate these concepts. The video concludes with a summary and encouragement to share the content.

What is the general form of the point-slope equation of a line?

• ax + by = c

• y - y1 = m(x - x1)

• y = mx + b

• y = ax^2 + bx + c

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

• The y-intercept

• The slope of the line

• The x-intercept

• The midpoint of the line

If the slope is 1/2 and the point is (4, -5), what is the y-value in the equation?

• y - 5

• y + 5

• y - 4

• y + 4

How do you handle a negative y-value in the point-slope form equation?

• Add the negative value

• Subtract the negative value

• Ignore the negative sign

• Multiply by -1

For a slope of -4 and a point (-2, -6), what is the x-value in the equation?

• x - 6

• x + 2

• x - 2

• x + 6

What is the correct way to write the equation if the x-value is negative?

• Subtract the negative value

• Add the negative value

• Ignore the negative sign

• Multiply by -1

In the equation y - 7 = -2/3(x + 8), what is the slope?

• 2/3

• 8

• 7

• -2/3

How do you determine the x-coordinate from the equation y - 7 = -2/3(x + 8)?

• Use the opposite sign of the number in the equation

• Ignore the number in the equation

• Double the number in the equation

• Use the same sign as in the equation

What is the point on the line for the equation y - 7 = -2/3(x + 8)?

• (8, 7)

• (-8, -7)

• (-8, 7)

• (8, -7)

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