You can put this solution on YOUR website! The 2 points alone will give you the slope. where m is the slope.
The points given are in the form
(2,5) = x(2), y(2) and
(7, -3) = x(1), y(1))
so
Now you need something that equals the slope, but is
general in form and applies to any x or y.
This is perfectly true as long as x and y are on the line passing
through (2,5) and (7,-3). To make that so, set it equal to the
value of m you got from
Now you can put it in the form y = mx + b
multiply both sides by (x - 7) this is the answer
The slope m is correct. Check to see if b = 41/5 is correct by setting
x = 0 in the slope formula
checks OK