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Write an equation in slope-intercept form of the line that passes through (7, 2)(7, 2) and (2, 12)(2, 12).

 Feb 26, 2019
 #1
avatar+5782 
+1

\(\text{two points }(7,2),~(2,12)\\ \text{the slope of a line segment joining them is given by}\\ m = \dfrac{2-12}{7-2} = \dfrac{-10}{5}=-2\\ \text{use point slope form with the first point}\\ (y-2) = -2(x-7)\\ y = -2x + 16 \)

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 Feb 26, 2019
 #2
avatar+103120 
+1

(7,2)  and (2,12)

 

Find the slope = m  =   [ 12 -2] / [ 2 - 7 ] =  10 / -5  =  -2

 

Using either point we have - I'll use (7, 2) - we have

 

y = m (x - 7) + 2

 

 y = -2(x - 7) + 2      simplify

 

y = -2x + 14 + 2

 

y = -2x + 16

 

cool cool cool

 Feb 26, 2019

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