Finding the Slope-Intercept Equation from Two Points

The video tutorial explains how to find the equation of a line passing through two points, (-1, 6) and (5, -4). It begins with visualizing the points on a graph, then calculates the slope by determining the change in y over the change in x. The tutorial continues by finding the y-intercept using the slope-intercept form of the equation. Finally, it combines these elements to derive the complete equation of the line, y = -5/3x + 13/3, and concludes with a brief summary of the process.

What are the coordinates of the two points through which the line passes?

• (1, 6) and (-5, -4)

• (-1, -6) and (5, 4)

• (1, -6) and (-5, 4)

• (-1, 6) and (5, -4)

What is the first step in finding the equation of the line?

• Finding the y-intercept

• Finding the slope

• Drawing the graph

• Calculating the midpoint

How do you calculate the change in y?

• Subtract the y-values

• Add the y-values

• Subtract the x-values

• Multiply the x-values

What is the slope of the line passing through the points (-1, 6) and (5, -4)?

• -5/3

• 5/3

• 3/5

• -3/5

What is the formula for the slope-intercept form of a line?

• y = mx + b

• y = bx + m

• x = my + b

• x = by + m

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

• (5, -4)

• (-1, 6)

• (1, -6)

• (0, 0)

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

• 3/13

• 1/3

• 13/3

• 4/3

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

• y = -5/3x + 13/3

• y = 5/3x - 13/3

• y = -3/5x + 13/3

• y = 3/5x - 13/3

How can the y-intercept 13/3 be written as a mixed number?

• 4 and 1/3

• 3 and 1/3

• 4 and 2/3

• 3 and 2/3

What does a negative slope indicate about the direction of the line?

• The line is horizontal

• The line is vertical

• The line slopes downward

• The line slopes upward