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.

gueesstt
Apr 22, 2018

#1**+1 **

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

CPhill
Apr 22, 2018