Exploring the Point Slope Formula

The video tutorial covers the point-slope, slope-intercept, and standard forms of linear equations. It provides detailed examples to calculate the slope and convert between these forms. The tutorial includes practice problems and advanced examples, emphasizing the importance of understanding different forms for tests.

What is the point-slope formula?

• y - y1 = m(x - x1)

• y = mx + b

• y = mx

• ax + by = c

In the standard form of a linear equation, what is true about the coefficient 'a'?

• 'a' must be positive

• 'a' can be any number

• 'a' must be negative

• 'a' must be zero

What is the first step in converting a point-slope form to a slope-intercept form?

• Subtract the y-intercept

• Distribute the slope

• Add the slope to both sides

• Multiply by the x-coordinate

In Example 1, what is the slope (m) calculated from the points (1, 2) and (3, 4)?

• -1

• 0

• 2

• 1

What is the slope-intercept form of the equation derived in Example 1?

• y = x - 1

• y = x + 1

• y = 2x + 1

• y = 2x - 1

In Example 2, what is the slope (m) calculated from the points (4, -5) and (3, 9)?

• -14

• 14

• 1/14

• -1/14

What is the standard form of the equation derived in Example 2?

• x + 14y = 51

• 14x - y = 51

• x - 14y = 51

• 14x + y = 51

In Example 3, what is the slope-intercept form of the equation given the slope 2 and point (4, 5)?

• y = 2x + 3

• y = 2x - 3

• y = -2x - 3

• y = -2x + 3

In Example 4, what is the point-slope form of the equation given the slope -1/2 and point (-6, 4)?

• y - 4 = -1/2(x + 6)

• y + 4 = -1/2(x - 6)

• y + 4 = 1/2(x - 6)

• y - 4 = 1/2(x + 6)

What is the standard form of the equation derived in Example 4?

• x + 2y = 2

• x - 2y = 2

• 2x - y = 2

• 2x + y = 2