Question

write an equation in point-slope form for the line through the given point with the given slope. (10, –9); m = –2 y – 10 = –2(x 9) y – 9 = –2(x – 10) y 9 = –2(x – 10) y – 9 = –2(x 10)

Answer 1

y - y₁ = m(x -x₁)

slope m = -2, from point (10, -9) , x₁ = 10, y₁ = -9

y - y₁ = m(x -x₁)

y - -9 = -2(x - 10)

y + 9 = -2(x - 10)

Answer 2

The required equation is
`y+9=-2(x-10)`

Explanation:

To find : Write an equation in point-slope form for the line through the given point with the given slope. (10, -9); m = -2

Solution :

The slope formula of the equation of line is

`(y-y_1)=m(x-x_1)`

Where, m is the slope and
`(x_1,y_1)` is the point.

According to question,

`(x_1,y_1)=(10,-9)`

The slope is m=-2

Substitute the value in the equation,

`(y-(-9))=(-2)(x-10)`

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

Therefore, The required equation is
`y+9=-2(x-10)`