Question

Write and equation in point-slope form for the line through the given point with the given slope

(10,-9); m=-2

Answer 1

see explanation

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 2 and (a, b) = (10, - 9), hence

y - (- 9) = - 2(x - 10), that is

y + 9 = - 2(x - 10) ← in point- slope form

Answer 2

Answer:
`y+9=-2(x-10)`

Explanation:

We know that the equation of a line in point slope form passing through point (a,b) and having slope 'm' is given by :-

`(y-b)=m(x-a)`

Given : Point : (10,-9)

Slope : m=-2

Then , the equation of a line in point slope form passing through point (10,-9) and having slope '-2' is given by :-

`(y-(-9))=-2(x-10)\\\\\Rightarrow\ y+9=-2(x-10)`