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)
Gradient of the line; m = [tex] \frac{change in x}{change in y} [/tex] m=[tex] \frac{1-2}{2--3} [/tex] m=[tex] \frac{-1}{5} [/tex] Equation of line; y=mx+c y=[tex] \frac{-1}{5} x+c[/tex] Replacing for x and y; 1=[tex] \frac{-1}{5} *2+c[/tex] 1=[tex] \frac{-2}{5} +c[/tex] c=[tex] \frac{7}{5} [/tex] y=[tex] \frac{-1}{5} x+ \frac{7}{5} [/tex]
