Finding the Equation of a Line from Two Points

The video tutorial explains how to find the equation of a line given two points. It covers both graphical and algebraic methods, detailing the calculation of slope and y-intercept. The tutorial concludes with writing the final equation of the line.

What is the first step in finding the equation of a line given two points?

• Find the midpoint

• Determine the slope

• Graph the points

• Calculate the y-intercept

How do you determine the slope of a line?

• By finding the midpoint of the line

• By calculating the change in y over the change in x

• By subtracting the y-coordinates

• By adding the x-coordinates

What is the slope of a line that goes down 10 units and right 5 units?

• 1

• -1

• 2

• -2

What is the equation of the line if the slope is -2 and the y-intercept is -7?

• y = -2x + 7

• y = 2x - 7

• y = -2x - 7

• y = 2x + 7

Why might you need to use algebraic methods to find the equation of a line?

• Because the slope might be zero

• Because the points might not be integers

• Because the graph might not be available

• Because the graph might be too complex

What is the formula for finding the slope between two points?

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 - x2) / (y1 - y2)

What does the subscript in x1 and x2 indicate?

• The points are on the y-axis

• The points are different

• The points are on the x-axis

• The points are the same

What is the y-intercept of a line where the y-value is 7 when x equals zero?

• 0

• 7

• -7

• 2

How can you confirm the y-intercept algebraically?

• By graphing the line

• By finding the midpoint

• By using the slope formula

• By substituting a point into the equation

Why does the equation of a line still have x and y variables?

• Because the line is finite

• Because the slope changes

• Because the y-intercept changes

• Because the line represents an infinite set of points