P(-10), q(11,19) this is the problem Lets try something fun this week ... everyo

Question

P(-10), q(11,19) this is the problem Lets try something fun this week ... everyone should post a problem using the material from week-6 (EA Textbook, Sections 3.3 to 3.6). The objective is to post a solution that has an intentional error and to correct an error in another student's post. So, here is mine ... can you find the error ? Problem: Given two points, (-4,2) and (0,8), find the equation of the line in "slope-intercept" format. Solution: First, I will find the slope using the equation m = (y2-y1)/(x2-x1) m = (8-2) / (-4-0) = 6 / -4 = -3/2 Now, I will use the "point-slope" equation ... (y-y1) = m(x-x1) y-8 = (-3/2) (x-0) y-8 = -3/2 x y = -3/2 x + 8

Explanation / Answer

Yes. the error in your solution is slope if (x1,y1)=(-4,2) and (x2,y2)=(0,8) then slope is y2-y1/x2-x1 = (8-2)/(0-(-4)) =6/4 =3/2.

Now the point slope equation (y-y1)=m(x-x1) is

(y- 2) = (3/2) (x +4)

2y-4=3x+12

y =(3/2) x+ 8

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