Exploring Point-Slope and Slope-Intercept Forms

The video tutorial explains how to find a linear equation given two points. It covers plotting points on an XY plane, calculating the slope, and expressing the equation in both point-slope and slope-intercept forms. The tutorial provides a step-by-step guide to derive these forms and highlights the importance of understanding slope and intercepts in linear equations.

What is the value of Y when X is equal to four?

• 9

• 6

• 1

• 4

What is the value of Y when X is equal to six?

• 9

• 4

• 6

• 1

What is the formula for calculating the slope between two points?

• Change in X over Change in Y

• Product of X and Y

• Change in Y over Change in X

• Sum of X and Y

What is the slope between the points (4, 9) and (6, 1)?

• -4

• 4

• -2

• 2

What is the point-slope form of the equation derived in the video?

• Y + 1 = -4(X + 6)

• Y - 9 = -4(X - 4)

• Y + 9 = 4(X + 4)

• Y - 1 = 4(X - 6)

What is the next step after writing the point-slope form to convert it to slope-intercept form?

• Distribute the slope

• Add 9 to both sides

• Multiply both sides by X

• Subtract 4 from both sides

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

• Y = -4X + 25

• Y = 4X + 25

• Y = -4X - 25

• Y = 4X - 25

What is the y-intercept of the equation in slope-intercept form?

• 25

• 16

• 9

• 4

What does the constant 'B' represent in the slope-intercept form Y = MX + B?

• The product of X and Y

• The x-intercept

• The y-intercept

• The slope

What is the slope of the line in the equation Y = -4X + 25?

• -25

• 25

• -4

• 4