Question

choose the point-slope form of the equation below that represents the line that passes through the points (-3,2) and (2,1)

Answer 1

the answer should be: (2 - 1) = m(-3 - 2)

Answer 2

Equation of line in point slope form is:

`y=-(1)/(5)(x+3)+2`

Explanation:

The point-slope form of the equation is:

y= mx + c

The equation of line passing through (a,b) and (c,d) is given by:

`y-b=(d-b)/(c-a)(x-a)`

firstly we find equation of line passing through (-3,2) and (2,1) and then convert it to point-slope form.

`y-2=(1-2)/(2+3)(x+3)`

`y-2=-(1)/(5)(x+3)`

`y=-(1)/(5)(x+3)+2`

Hence, Equation of line in point slope form is:

`y=-(1)/(5)(x+3)+2`