Question

Part 1: Write the equation of the line that passes through the points (3, 4) and (–3, –8) in point-slope form. Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.

Answer 1

Part 1:

First let's find the slope

m = (y2-y1)/(x2-x1)

m = ( -8- 4)/(-3-3)

m = (-12)/(-6)

m = 2


Now use this along with any point -- say the first one (3,4) -- in y = mx+b to find the equation of the line


y = mx+ b

y = 2x + b ... Plug in m = 2

4 = 2(3) + b ... Plug in x = 3 and y = 4, this is from the first point

4 = 6 + b

4 - 6 = b

-2 = b

b = -2

So because m = 2 and b = -2

y = mx+b

turns into

y = 2x-2

Answer 2

Thank you, I appreciate it.

Answer 3

you're welcome