Answers

1. Answer:

   y = 8/3(x) + 9

   Step-by-step explanation:

   The general equation of a straight line is slope intercept form is;

   y = mx + b

   where m is the slope and b is the y-intercept

   To get the slope, we use the slope equation

   we have this as:

   m = (y2-y1)/(x2-x1)

   (x1,y1) = (-6,-7)

   (x2,y2) = (-3,1)

   m = (1+7)/(-3 + 6) = 8/3

   so we have the equation as;

   y = 8/3(x) + b

   to get the value of b, we make use of any of the two points

   We substitute the coordinates of the two points into the equation

   Let us use the point (-3,1)

   Thus;

   1 = 8/3(-3) + b

   1 = -8 + b

   b = 1 + 8

   b = 9

   So the full equation is;

   y = 8/3(x) + 9

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