Question 636044
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Using the standard slope-intercept form for an equation of a line y = mx + b
  where m is the slope and b the y-intercept.
line through (4,-4) with a slope m =  -9/4
{{{y = highlight(-9/4)x + b}}}
{{{-4 = highlight(-9/4)*4 + b}}}  |Using ordered pair (x,y): (4,-4)  to solve for b
5 = b
 y = (-9/4)x + 5   (Note: line slants to the left (back 4 Up 9) from point(4,-4)
<u>using point-slope form as the directions state</u>
{{{y - y[1] =  (-9/4)(x - x[1])}}}
{{{y - (-4) =  (-9/4)(x - 4)}}}
{{{y + 4 =  (-9/4)(x - 4)}}}      || which also says:  y = (-9/4)x + 5)
{{{drawing(300,300,   -6, 6, -6, 6,  grid(1),
circle(4, -4,0.3),
circle(0, 5,0.3),
graph( 300, 300, -6, 6, -6, 6, 0,(-9/4)x + 5 ))}}}