Question

Find the slope of the line through the points (6,16) and (−6,4)

Answer 1

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

`m = (4-16)/(-6-6) \\m = (-12)/(-12) \\\\m = 1`

Therefore, the slope of the line is 1. In case if you want to know the equation.

`y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\`

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

`y=mx+b\\y=x+b\\16=6+b\\16-6=b\\10=b\\`

It's the same, you can use any orders given.

Overall, the slope is 1 and the equation is y=x+10