Answer:
Part a) The slope is  
Part b) The equation in point slope form is  
 
Part c) The equation in slope-intercept form is 
Step-by-step explanation:
we have the points (3,4) and (-3,6)
Part a) What is the slope of the line?
The formula to calculate the slope between two points is equal to
 
substitute the given points
 
 
 
Part b) Write the equation of the line in point-slope form

we have
 

substitute
 ---> equation in point slope form
  ---> equation in point slope form
Part c) Write the equation of the line in slope-intercept form

we have

Isolate the variable y
distribute right side

Adds 4 both sides

 ---> equation in slope intercept form
 ---> equation in slope intercept form