Finding Slope Intercept Form from Two Points

This video tutorial explains how to find the slope-intercept form of a line using two points. It begins with an introduction to the slope-intercept equation, y = mx + b, where m is the slope and b is the y-intercept. The video demonstrates how to calculate the slope by using the formula (y2 - y1) / (x2 - x1) with example points (2, 8) and (5, 17). After finding the slope, the tutorial shows how to determine the y-intercept by substituting one of the points into the equation. Finally, the video verifies the accuracy of the derived equation by checking it with the second point.

What is the general form of the slope-intercept equation?

• y = mx + b

• y = ax + b

• y = bx + c

• y = cx + d

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The constant term

• The x-intercept

• The slope

How do you calculate the slope between two points?

• Y2 + Y1 over X2 + X1

• Y2 - Y1 over X2 - X1

• Y2 * Y1 over X2 * X1

• Y2 / Y1 over X2 / X1

Given points (2, 8) and (5, 17), what is the slope?

• 2

• 3

• 5

• 4

What is the result of 17 - 8?

• 9

• 8

• 10

• 7

What is the result of 5 - 2?

• 2

• 3

• 5

• 4

How do you isolate 'b' in the equation 8 = 6 + b?

• Add 6 to both sides

• Subtract 6 from both sides

• Divide both sides by 6

• Multiply both sides by 6

What is the y-intercept if the equation is y = 3x + b and one point is (2, 8)?

• 1

• 2

• 3

• 4

What is the final equation of the line using points (2, 8) and (5, 17)?

• y = 3x + 1

• y = 3x + 2

• y = 3x + 3

• y = 3x + 4

How do you verify the equation y = 3x + 2 using the point (5, 17)?

• Plug in x = 5 and check if y = 19

• Plug in x = 5 and check if y = 15

• Plug in x = 5 and check if y = 20

• Plug in x = 5 and check if y = 17