+212 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.
+781 We write an equation in slope intercept form based on the given points. The slope must be 2/3 using the slope formula. We then have y=2/3x+b. We plug in one of the points to find b.
y=2/3x+b
1=2/3(6)+b
1=4+b
b=-3
The equation is y=2/3x-3. We then convert it into standard form.
y=2/3x-3
-2/3x+y=-3
2x-3y=9
