Understanding 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 defining the slope-intercept form and calculating the slope using the formula M = (Y2 - Y1) / (X2 - X1). After finding the slope to be -1, the tutorial proceeds to determine the y-intercept by substituting one of the points into the equation. The final equation is simplified to Y = -X + 4. The tutorial concludes with a graphical verification of the equation, confirming the slope and y-intercept.

What is the slope-intercept form of a line's equation?

• Y = MX + B

• Y = X + MB

• Y = B + MX

• Y = M/B + X

Which formula is used to calculate the slope between two points?

• M = (X2 - X1) / (Y2 - Y1)

• M = (Y2 - Y1) / (X2 - X1)

• M = (X1 - X2) / (Y1 - Y2)

• M = (Y1 - Y2) / (X1 - X2)

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

• -2

• 1

• -1

• 2

How do you determine the y-intercept once the slope is known?

• By substituting a point's coordinates into the equation

• By setting X to zero in the equation

• By multiplying the slope with a point's Y-coordinate

• By dividing the slope by a point's X-coordinate

What is the y-intercept of the line with the equation Y = -X + 4?

• 0

• 1

• 4

• -4

What is the simplified form of the equation Y = -1X + 4?

• Y = X + 4

• Y = -X + 4

• Y = -1X + 4

• Y = 4 - X

Why is it important to verify the equation graphically?

• To ensure the line passes through the origin

• To confirm the slope and y-intercept are correct

• To check if the line is horizontal

• To determine if the line is vertical

What does a slope of -1 indicate about the line's direction?

• The line is vertical

• The line is horizontal

• The line decreases as it moves right

• The line increases as it moves right

If a line has a y-intercept of 4, where does it cross the y-axis?

• (0, -4)

• (4, 0)

• (0, 4)

• (-4, 0)

What is the vertical change when moving from one point to another on a line with a slope of -1?

• +1

• -1

• 0

• +2