Question 174511
Let {{{x}}}= the number of miles run on a particular day
Let {{{y}}}= the day of the week with Moday = 0, tuesday = 1, etc.
If I try to make a plot of (x,y) points on a graph,
I have the points
{2,0)
(3,2)
(4,4)
Now I have to see what kind of curve goes through
these points. Hopefully, it's a straight line
The point-slope formula using the outside points is:
{{{(4 - 0)/(4 - 2) = m}}}
{{{m = 2}}}
The equation would be
{{{(y - 0)/(x - 2) = 2}}}
{{{y = 2*(x - 2)}}}
{{{y = 2x - 4}}}
Does this equation contain the point (3,2)?
{{{2 = 2*3 - 4}}}
{{{2 = 6 - 4}}}
{{{2 = 2}}} yes
So, {{{y = 2x - 4}}} is the equation