Question

Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).


A. y + 1 = -2(x – 5)
B. y – 1 = -2(x – 5)
C. y – 5 = -2(x + 1)
D. y -5 = -2(x – 1)

Answer 1

Equation of line in slope -point form is given as
\[y-y_1=m(x-x_1)\]
Where slope m= -2
x1= 5 and y1= -1
Substituting these values in the above formula we have
\[y-(-1)=-2(x-5) \rightarrow y+1=-2(x-5)\]
Hence option A. y + 1 = -2(x – 5) is the correct answer.

@mikebyy