Question 408407
  <pre><font size = 3 color = "indigo"><b>
Hi
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(2,7) and 
(5,-2) m = 9/-3  = -3
*[tex \large\ Using \ the \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ -3 \ is \ the \ slope \ and \ b \ the \ y-intercept]
  y = -3x + b  |using ordered pair Pt(2,7) to solve for b
  7 = -6 + b    b = 13
 y = -3x + 13
line slants to the left as  m < 0
m = -3/1: as y increases/decreases by 3, x increases/decreases by 1 in opposite direction
 {{{drawing(300,300, -20,20,-20,20,   grid(1),
circle(0, 13,0.6),
circle(2, 7,0.6),
circle(5, -2,0.6),
graph( 300, 300, -20,20,-20,20, 0, -3x + 13 ))}}}