Problem 255
Suppose that someone said that the equation connecting points (-1,1) and (2,3) is This person wants to know whether the line represented by this equation will contain point (6,9) Identify two ways by which this person can decide whether the graph of the equation contains the point.
Solution
Two points are (-1,1)(2,3)
And given equation is y=
x+
If this line contain the point (6,9)
means this line passes through it
Put this point in the given equation
And second way is to find the slope of that line
and two points one is (6,9)
and other is may be (-1,1)or (2,3)
if we get same slope from both
that means points (6,9) is a point on the line .