What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ? y−2=−14(x 9) y 9=−14(x−2) y 2=−14(x−9) y−9=−14(x 2)

y-9 = -14(x+2)

Step-by-step explanation:

The formula for finding the equation of a line is y = mx+c or y-y1= m(x-x1) where;

m is the slope or gradient = -14

c is the intercept

(x1,y1) is a point on the line given as (-2,9) i.e x1 = -2, y1 = 9

Substituting the value of the slope and the point (x1,y1) in the given equation of the line, the equation will become;

y-9 = -14(x-(-2))

y-9 = -14(x+2)

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