Question 394299
  <pre><font size = 3 color = "indigo"><b>
Hi
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}} to find slope
(5 , 2) 
(-3,-4) m = 2-(-4) / 5-(-3) = 6/8 = 3/4
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.  
y = (3/4)x + b   |using ordered pair Pt(5,2) to solve for b
2 = 15/4 + b
-7/4 = 6
y = (3/4)x -7/4   |y-intercept is Pt(0,-7/4) 
{{{drawing(300,300, -6, 6, -6, 6, grid(1),
circle(5, 2,0.3),
circle(-3, -4,0.3),
circle(0, -1.75,0.3),
graph( 300, 300, -6, 6, -6, 6,0,.75x - 1.75))}}}