Find the equation of the line between (8, -2) and (6,5) in slope intercept form

Cindy Noble

Cindy Noble

Answered question

2022-09-07

Find the equation of the line between (8, -2) and (6,5) in slope intercept form

Answer & Explanation

lascosasdeali3v

lascosasdeali3v

Beginner2022-09-08Added 10 answers

Here the concept of slope intercept form will be used .
The slope intercept form is used to provide the equation of the straight line in the form of
y = m x + c
Where m is the slope of the straight line and c is the y intercept of the straight line .
The point are ( 8 , 2 )  and  ( 6 , 5 )
m = s l o p e = y 2 y 1 x 2 x 1 = 5 ( 2 ) 6 8 = 5 + 2 2 = 7 2
Now as slope intercept form is
y = m x + c
Putting m we get y = 7 n 2 + C
Now substituting a point is it to get the value of C
5 = 7 × 6 2 + C 5 = 7 × 3 + C C = 5 + 21 = 26
so y = 7 n 2 + 26 y = 3.5 n + 26

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