Apply point slope form for two points to determine the slope and y intercept ex 4

The video tutorial explains how to write an equation in slope intercept form using two points. It begins by introducing the point slope form and its usefulness. The instructor demonstrates how to find the slope from two points and then convert the equation into slope intercept form. The process involves calculating the slope, substituting values, and simplifying the equation. The tutorial concludes with a completed equation in slope intercept form, emphasizing the preference for using fractions over decimals.

What is the primary reason for using point-slope form when given two points?

• It is easier to remember.

• It directly provides the y-intercept.

• It simplifies the process of finding the slope.

• It avoids the use of fractions.

How do you calculate the slope between two points?

• By multiplying the x-coordinates and y-coordinates.

• By subtracting the x-coordinates from the y-coordinates.

• By adding the x-coordinates and y-coordinates.

• By dividing the difference in y-coordinates by the difference in x-coordinates.

What is the slope of the line given the points (-3, 3) and (1, 2)?

• 1/4

• 4

• -1/4

• -4

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

• Any point on the line

• The midpoint of the line

• The point with the smallest x-coordinate

• The point with the largest y-coordinate

What is the final equation of the line in slope-intercept form?

• y = 1/4x + 13/4

• y = -1/4x + 13/4

• y = 1/4x + 3.25

• y = -1/4x + 3.25