1. Remember
that a line can be expressed as y = mx+b, where m is
the slope and b is the y intercept (where the line hits the y axis).
2. Remember
that slope can be described as rise over run – the difference in the y values
divided by the difference in the x values.
3. In
this instance -- R(-5,4) and S(7,2) – the rise is 2-4,
or -….and the run is 27- (-5), or 12.
4. The
slope, therefore is
5. The
equation is therefore y= -x+b.
6. We
can figure out b by plugging in any coordinate on the line, such as 7,2.
a.
So, 2= -*7+b.
b.
b=.
7. Therefore,
y=--x +