Question
Still not understanding the way to write the equation of the pair of points. (-2,-3) and (-6,-9) in the form of y=
Answers
Steve
the slope of a line is constant. The slope of the line segment between the two points is
m = ∆y/∆x = (-9+3)/(-6+2) = 3/2
Now we have the slope, and it remains constant everywhere on the line. In particular, the line segment between (-2,-3) and (x,y) is 3/2, regardless of where (x,y) is on the line.
(y+3)/(x+2) = 3/2
y+2 = 3/2 (x+2)
Review the two-point form of the line equation.
m = ∆y/∆x = (-9+3)/(-6+2) = 3/2
Now we have the slope, and it remains constant everywhere on the line. In particular, the line segment between (-2,-3) and (x,y) is 3/2, regardless of where (x,y) is on the line.
(y+3)/(x+2) = 3/2
y+2 = 3/2 (x+2)
Review the two-point form of the line equation.