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 = $\frac{change in x}{change in y}$
m=$\frac{1-2}{2--3}$
m=$\frac{-1}{5}$
Equation of line;
y=mx+c
y=$\frac{-1}{5} x+c$
Replacing for x and y;
1=$\frac{-1}{5} *2+c$
1=$\frac{-2}{5} +c$
c=$\frac{7}{5}$
y=$\frac{-1}{5} x+ \frac{7}{5}$