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

Answer:

Equation of line in point slope form is:

$y=-\dfrac{1}{5}(x+3)+2$

Step-by-step 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:

$y-b=\dfrac{d-b}{c-a}(x-a)$

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

$y-2=\dfrac{1-2}{2+3}(x+3)$

$y-2=-\dfrac{1}{5}(x+3)$

$y=-\dfrac{1}{5}(x+3)+2$

Hence, Equation of line in point slope form is:

$y=-\dfrac{1}{5}(x+3)+2$

Answer 2

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