5. A line passes through the points (6,5) and (3, 1). Use your knowledge of slope and different forms of equations to answer the following questions.
Part I: What is the slope of the line passing through the points (6,5) and (3, 1)?
Show your work. (2 points)
Part II: Write two point-slope equations for the line passing through the points (6,
5) and (3, 1). Show your work. (4 points: 2 points per equation)
Part III: Rewrite one of your point-slope equations from Part II in slope-intercept
form. Show your work. Be sure to show which equation you are starting with. (2
points)
I
Part IV: What is the y-intercept of the line passing through the points (6,5) and (3,
1)? Justify your answer. (2 points)