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.
+14913 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!
\(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+5}{-6+3}\)
\(m=-2\)
\(\color{blue}y=m(x-x_1)+y_1\\ y=-2(x+3)-5=-2x-6-5\)
\(y=-2x-11\)
\(2x+y=-11\)
\(Ax+By=C \)
\(A+B+C=2+1-11\)
\(A+B+C=-8\)
!
