Question 409965
 <pre><font size = 3 color = "indigo"><b>
Hi
Write the slope-intercept equation for the line that passes through 
(4, -9) and has slope -3/4. 
*[tex \LARGE\ Using \ the \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]
 y = (-3/4)x + b   |using ordered pair Pt(4,-9) to solve for b
-9 = -3 + b
-6 = b 
  y = (-3/4)x -6    |written in the slope-intercept form
{{{drawing(300,300,   -10,10,-10,10,
 grid(1),
circle(4, -9,0.4),
circle(0, -6,0.4),
graph( 300, 300, -10,10,-10,10,0,-.75x-6))}}}