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At what point does the line containing the points $(1, 7)$ and $(3, 11)$ intersect the $y$-axis? Express your answer as an ordered pair.

 Apr 22, 2018
 #1
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The slope of the line  is    [ 11 - 7 ] / [ 3 - 1]  =   4/2  =  2

 

So....using the point (1,7) we can write the equation of a line passing through the two given points as

 

y = 2(x - 1) + 7

 

y = 2x - 2 + 7

 

y  = 2x + 5

 

In the form y  = mx + b,  "b"  is  y intercept....and where the line intercepts the y axis, the x value of the coordinate  = 0

 

So

 

(0, 5)  is the y intercept 

 

 

cool cool cool

 Apr 22, 2018

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