Question

Which equation is a point-slope form of the equation of this line?

−2x+y+5=0

y=2x−5

(y+1)=−12(x−2)

(y−1)=2(x+2)

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Answer 1

you need to find the slope first by using the slope formula
slope(m) = (y2 - y1) / (x2 - x1)
(1,7) x1 = 1 and y1 = 7
(-2,1) x2 = -2 and y2 = 1
now sub
slope(m) = (1 - 7) / (-2-1)
slope(m) = -6/-3
slope(m) = 2

y - y1 = m(x - x1)
slope(m) = 2
(-2,1) x1 = -2 and y1 = 1
now we sub
y - 1 = 2(x - (-2)
y - 1 = 2(x + 2)