Finding the Equation of a Line in Slope-Intercept Form

The video tutorial explains how to determine the equation of a line passing through two points, (3,1) and (5,-1), in slope-intercept form. It begins by introducing the slope-intercept form and the formula for calculating the slope using two points. The tutorial then demonstrates how to find the slope, which is -1, and how to determine the y-intercept by substituting one of the points into the equation. The final equation of the line is y = -x + 4. The video concludes with a graphical verification of the equation, confirming the slope and y-intercept using the given points.

What is the slope-intercept form of a line?

• Y = M + BX

• Y = MX + B

• Y = X + MB

• Y = B + MX

Which points are used to determine the equation of the line in the video?

• (3,1) and (4,2)

• (3,1) and (5,-1)

• (2,3) and (5,-1)

• (1,3) and (5,-1)

What is the formula for calculating the slope (M) between two points?

• M = (X1 - X2) / (Y1 - Y2)

• M = (Y1 - Y2) / (X1 - X2)

• M = (Y2 - Y1) / (X2 - X1)

• M = (X2 - X1) / (Y2 - Y1)

What is the slope of the line passing through the points (3,1) and (5,-1)?

• -1

• -2

• 2

• 1

What is the next step after finding the slope in the slope-intercept form?

• Find another point on the line

• Determine the x-intercept

• Determine the y-intercept

• Graph the line

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

• (1,3)

• (0,4)

• (3,1)

• (5,-1)

What is the y-intercept (B) of the line?

• 3

• 1

• 4

• -1

What is the final equation of the line in simplified form?

• Y = 4 - X

• Y = -X + 4

• Y = -1X + 4

• Y = X - 4

What is the y-intercept of the line on the graph?

• 3

• 1

• 4

• -1

How can you verify the slope of the line graphically?

• By checking the x-intercept

• By moving down one unit and right one unit

• By moving up one unit and left one unit

• By checking the y-intercept