A line passes through the points (-3,-5) and (-6,1). The equation of this line can be expressed in the form Ax + By = C, where A, B, and C are integers with greatest common divisor 1, and A is positive. Find A + B+ C.

Guest Jan 21, 2021

#1**+1 **

A line passes through the points (-3,-5) and (-6,1). The equation of this line can be expressed in the form Ax + By = C, where A, B, and C are integers with greatest common divisor 1, and A is positive. Find A + B+ C.

**Hello Guest!**

\(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+5}{-6+3}\)

\(m=-2\)

\(\color{blue}y=m(x-x_1)+y_1\\ y=-2(x+3)-5=-2x-6-5\)

\(y=-2x-11\)

\(2x+y=-11\)

\(Ax+By=C \)

\(A+B+C=2+1-11\)

\(A+B+C=-8\)

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asinus Jan 22, 2021