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Find an equation of the line passing through the points.
(1, 0.6), (−9, −3.4)

User AstroBen
by
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1 Answer

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First of all we need to find the slope using this formula :

Slope = [ y(A) - y(B) ] ÷ [ x(A) - x(B) ]

Suppose that :

A = ( 1 , 0.6 )

&

B = ( - 9 , - 3.4)

Thus :

Slope = [ 0.6 - ( - 3.4) ] ÷ [ 1 - ( -9 ) ]

Slope = [ 0.6 + 3.4 ] ÷ [ 1 + 9 ]

Slope = 4 ÷ 10

Slope = 4/10 = 2/5

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Now it's time to find the equation , to do that we just have to use the point-slope form formula of the linear equation which is like this :

y - y( A or B ) = Slope × ( x - x( A or B) )

We're almost done; just need to put the coordinates of point A or point B and the Slope to find the equation :

I'm gonna use A for it but you can do that with B , They will give same equation.

y - 0.6 = 2/5 × ( x - 1 )

y - 0.6 = 2/5 x - 2/5

y - 6/10 = 2/5 x - 2/5

y - 3/5 = 2/5 x - 2/5

Add both sides 3/5

y - 3/5 + 3/5 = 2/5 x - 2/5 + 3/5

y = 2/5 x + 1/5

And we're done ...

User Mafujul
by
7.1k points