Consider the line passing through the points (1 , 2) and ( 3 , 7) .
a) What is its slope ?
b) Write the coordinates of another point on this line ?
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Answer:
A general equation for line having slope m is , y = mx + c , where m is slope of line .
Here m =
3
7
,
So, 3y=7x+3c or 3y=7x+C
Now to eliminate C we will use the information that line passes through (3,-5),
−15=7(3)+C which gives c=−36 .
So equation of line is , 7x−3y−36=0 .
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