Question

What is the equation of the given line in point slope form

A. Y-1=2(x+2)
B. Y-1=2(x-2
C. Y-2=2(x+1)
D. Y-2=1/2(x+2)

Answer 1

The equation of the given line in point slope form is:

`\:y-1=2\left(x+2\right)`

Therefore, option A is true.

Explanation:

From the diagram

• A(-2, 1)

• B(-1, 3)

`\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-2,\:1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:3\right)`

`m=(3-1)/(-1-\left(-2\right))`

`m=2`

As point slope form is

`y-y_1=m\left(x-x_1\right)`

Putting
`m=2` and a point (-2, 1) in the point slope form

`y-1=2\left(x-\left(-2\right)\right)`

`\:y-1=2\left(x+2\right)`

Hence, the equation of the given line in point slope form is:

`\:y-1=2\left(x+2\right)`

Therefore, option A is true.