3. a line goes through the points (3,4) and (-3,6).
(a) what is the slope of the line? show your work
(b) write the equation of the line in point-slope form. show your work
(c) write the equation of the line in slope-intercept form. show your work.

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

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

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.