Question 380298
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Hi,
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}} to determine the slope:
Points (0, -6) and (5, 3)
  m = 3-(-6) / 5-0  = 9/5 
the standard slope-intercept form for an equation of a line: y = mx + b  
where m is the slope and b the y-intercept.  In ths ex.  m = 9/5
y = (9/5)x + b     Using ordered pair Pt(5,3) to solve for b 
3 = 9  + b
-6 = b
y = (9/5)x - 6  
{{{drawing(300,300, -10,10,-10,10, grid(1),
circle(0, -6,0.4),
circle(5, 3,0.4),
graph( 300, 300, -10,10,-10,10, 1.8x - 6 ))}}}