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

Answer:

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

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

Therefore, option A is true.

Step-by-step explanation:

From the diagram

• A(-2, 1)

• B(-1, 3)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{3-1}{-1-\left(-2\right)}$

$m=2$

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.