A line passes through (9,5) and (2,8). A second line passes through (7,3). What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer
Annie
Aug 25, 2016

(0,6)

Explanation:

The line passing through (9,5) and (2,8) has a gradient of −37
The difference in the y values of the two points divided by the difference in the x values.

The general equation of a line is y=mx+c
where m is the gradient and c is the y intercept

So the equation of the line passing through (7,3) with a gradient of −37 is y=−37x+c
But we know the point (7,3) is on the line so substitute in the values to get the equation as y=−37x+6

When x =0 y=6

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