Question 863789
The standard form for a line is y = mx + b, where m is the slope and b is the y intercept
m is defined as (y2 - y1) / (x2 - x1) 
for our problem m = ( 1 - 2) / (5 - (-2)) = -1 / 7
y = -x/7 + b
now take point (-2, 2) and substitute in the equation above to find b
2 = -(-2)/7 + b
2 = 2/7 + b
b = 14/7 - 2/7 = 12/7
y = -x/7 + 12/7
here is a graph of the line
{{{ graph( 300, 200, -15, 15, -10, 10, -x/7 + 12/7) }}}