(score for question 2: of 5 points)
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.

Step-by-step explanation:

a) Let's do this question by point-slope form, since we're given two coordinates, It's easier to use this method.

y- = m(x-)

6-4 = m(-3-2)

2=m(-5)

m= -2/5 Answer

b) It's easier since we solved the previous question with point slope form

y-4= -2/5 (x-3) Answer

c) y= mx + b (solve for the y-intercept)

4 = -2/5 (3) + b

4 + 6/5 = b

26/5 = b

Hence the equation is y = -2/5x+26/5 Answer

Hope this helps!

if you need clarifications anywhere, please let me know!

Step-by-step explanation:

Let the points be .

(a) Slope of the line =

(b) Let the slope be m.

From part (a), m =

Point slope form is as follows:

(c) Slope intercept form is y = mx + b

where m is the slope of line and b is the y-intercept.

Here, m =

To find : b

On putting , we get

So, slope intercept form is

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).