Understanding Slope-Intercept Form

This video tutorial explains how to determine the equation of a line passing through two given points in slope-intercept form. It covers calculating the slope using the formula M = (Y2 - Y1) / (X2 - X1), finding the y-intercept by substituting one of the points into the equation, and verifying the final equation graphically. The tutorial emphasizes understanding the slope-intercept form Y = MX + B, where M is the slope and B is the y-intercept.

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

• Y = X + MB

• Y = MX + B

• Y = B + MX

• Y = M/B + X

How do you calculate the slope given two points?

• M = X1 - X2 / Y1 - Y2

• M = Y1 - Y2 / X1 - X2

• M = X2 - X1 / Y2 - Y1

• M = Y2 - Y1 / X2 - X1

What is the slope of the line passing through the points (-2, -3) and (4, -2)?

• 1/6

• 1/2

• 2/3

• 1/3

Which point is used to find the y-intercept in the video?

• The first point

• The second point

• Both points

• Neither point

What is the y-intercept of the line in improper fraction form?

• -8/3

• -2/3

• -3/8

• -3/2

How is the equation of the line finally written?

• Y = -8/3 + 1/6X

• Y = 1/6X - 8/3

• Y = 8/3 - 1/6X

• Y = 1/6X + 8/3

What is the graphical y-intercept of the line?

• -1 2/3

• -2 2/3

• -3

• -2 1/3

How many units do you move right to verify the slope graphically?

• 7 units

• 6 units

• 5 units

• 4 units

What is the vertical change when moving between two points on the line?

• +2

• +1

• -1

• -2

What is the slope of the line as verified graphically?

• 1/3

• 2/3

• 1/2

• 1/6