Vo5rmazhanaloli
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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)

Verified Answer :

Ckaranja

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=\(\frac{-1}{5} x+ \frac{7}{5}\)

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