Question

choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1). a:y 3=-5(x-2) b:y-2=-5(x 3) c:y 3=-1/5(x-2) d:y-2=-1/5(x 3)

Answer 1

Gradient of the line;
m =
`(change in x)/(change in y)`
m=
`(1-2)/(2--3)`
m=
`(-1)/(5)`
Equation of line;
y=mx+c
y=
`(-1)/(5) x+c`
Replacing for x and y;
1=
`(-1)/(5) *2+c`
1=
`(-2)/(5) +c`
c=
`(7)/(5)`
y=
`(-1)/(5) x+ (7)/(5)`