```Question 250247
Let the point A be (3, 5)
and point B be (9, 6)

The slope of the line is given by

{{{= (6-5)/(9-3)}}}
{{{= 1/6}}}

The equation of a straght line is given by

y = mx + c where m is the slope.

Thus the equation becomes

{{{y = (1/6)x + c}}}

Lets put x = 3 and y = 5 in the above equation.

{{{5 = (1/6)3 + c}}}
{{{5 = 1/2 + c}}}
{{{ c = 9/2}}}

Thus he equation of the straight line joining the two points is given by

{{{y = (1/6)x + (9/2)}}}```
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