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 2 years ago
Write an equation of the line that passes through the pair of points. (2,3), (4,2)?
a.y= 5/2x1/8
b.y= 5/2 x8
c.y=  5/2x+8
d.y=5/2x+8
 2 years ago
Write an equation of the line that passes through the pair of points. (2,3), (4,2)? a.y= 5/2x1/8 b.y= 5/2 x8 c.y=  5/2x+8 d.y=5/2x+8

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jkev1
 2 years ago
Best ResponseYou've already chosen the best response.0i'm so confused:( @waterineyes

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0Slope is given by: \[\huge \color{blue}{Slope = \frac{y_2y_1}{x_2  x_1}}\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0Can you find slope now or not?? Just plug in the values, \[(x_1,y_1) = (2,3)\] \[(x_2,y_2) = (4,2)\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0I have to leave now... So, I am solving this for you: \[m = \frac{23}{42} = \frac{5}{2}\] The equation with one point and one slope is given by: \[\large \color{green}{y  y_1 = m(x  x_1)}\] Putting the first point \((2,3)\) in this: \[y  3 = m(x  2) \implies y  3 = \frac{5}{2}(x  2)\] \[y  3= \frac{5}{2}x + 5 \implies y = \frac{5}{2}x + 8\]
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