Hi,

Using the point-slope formula,  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  



 

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