Question

What is the equatio of the line passing through 9,2 and -12,-12

Answer 1

Slope intercept equation:

y=mx+b

Where:

m= slope

b= y-intercept

Apply the slope formula:

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

Where:

(x1,1) = (9,2)

(x2,y2)= (-12.-12)

Replacing:

`m=\text{ }(-12-2)/(-12-9)=(-14)/(-21)=(2)/(3)`

So far we have:

y=2/3x+b

Replace (x,y) by a coordinate point , for example (9,2) and solve for b:

2= 2/3(9)+b

2= 6 +b

2-6= b

-4= b

Final equation:

y= 2/3x-4