Question

What equation represents the line that passes through the points (6, –3) and (–4, –9)?

Answer 1

did u know formula for two point form if not then i will tell u?

Answer 2

(x-x1)/(x-x2)=(y-y1)(y-y2)
put the point and get equation

Answer 3

Input each point into y = mx + b, creating two equations:
-3 = 6m + b
-9 = -4m + b

Isolate b in each
b = -3 - 6m
b = 4m - 9

Set b = b, then isolate and solve for m:
-3 - 6m = 4m - 9
9 - 3 = 6m + 4m
6 = 10m
6/10 = m
3/5 = m

Substitute m into one of the formulas already isolated for b:
b = 4m - 9
b = 4(3/5) - 9
b = 12/5 - 9
b = 12/5 - 45/5
b = (12 - 45)/9
b = -(45 - 12)/9
b = -32/9

Therefore:
y = 3/5(m) - 32/9