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At what point does the line containing the points (1, 7) and (3, 11) intersect the y-axis?

 Jun 1, 2020
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Use Desmos to graph the points. 


Find the slope of the line. Because the slope is positive, and we're trying to find what point intersects with the y-axis, we're going to start from point (3, 11) and end at point (1, 7).

 

To get from (3, 11) to (1, 7), go down 4, and to the left 2. (or left 2, and down 4 - doesn't matter which way you do it!!)

 

Using the slope, find your next point going down 4 and to the left 2 of (1, 7).

Your next point should be (-1, 3). 

 

Your y-axis is the line that is vertical, so find the point at which the line you plotted intersects this axis. In this case, an easy way of calculating the intersection would be to find the point between (1, 7) and (-1, 3).


The intersection is (0, 5).

 Jun 1, 2020

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