Understanding Point-Slope Form

The video tutorial explains the point-slope form of a line equation, which is expressed as Y - y1 = M(X - x1), where M is the slope and (x1, y1) is a point on the line. The instructor provides three examples to illustrate how to interpret and graph lines using this form. The first example focuses on understanding the opposite signs in the equation, the second example deals with negative slopes, and the third example demonstrates using fractional slopes. The tutorial concludes with a brief mention of graphing lines in slope-intercept form.

What does the 'M' represent in the point-slope form equation?

• The y-coordinate of a point

• The y-intercept

• The slope of the line

• The x-coordinate of a point

How is the point-slope form derived from the slope formula?

• By subtracting the slope from both sides

• By cross-multiplying the slope formula

• By adding the slope to both sides

• By dividing the slope by the x-coordinate

In the equation Y - 2 = 3(X + 1), what is the point through which the line passes?

• (1, -2)

• (-1, 2)

• (-1, -2)

• (1, 2)

What is the slope of the line in the equation Y - 2 = 3(X + 1)?

• 1

• 4

• 2

• 3

In the equation Y + 4 = -1(X - 1), what is the slope of the line?

• 2

• 0

• -1

• 1

What point does the line Y + 4 = -1(X - 1) pass through?

• (1, 4)

• (-1, 4)

• (-1, -4)

• (1, -4)

In the equation Y + 3 = 1/2(X + 2), what is the slope of the line?

• 2

• 1/2

• -2

• -1/2

What point does the line Y + 3 = 1/2(X + 2) pass through?

• (2, 3)

• (-2, 3)

• (2, -3)

• (-2, -3)

How do you graph a line with a slope of 1/2?

• Rise 1, run 2

• Rise 2, run 1

• Rise 2, run 2

• Rise 1, run 1

What is the opposite of a slope of 1/2?

• -2

• 2

• -1/2

• 1/2