1.

Line A passes through the cooredinate points (-2/5, 0) and (0,1). Which of the following lines will line A never intersect ?

Answer»




Solution :You're asked to identify the line that the one discribed in the EQUATION stem will never intersect. Lines that never intersect are parallel and therefore have identical slopes, so stary by finding the SLOPE of the line WHOSE two cordinate pairs are given. You'll find:
`m =(1-0)/(0-(-(2)/(5)))=(1)/((2)/(5))=5/3`
Choice (C ) and (D) have negative slopes, so eliminate them. Next, find the slopes of (A) and (B). No need to use the slope formula, counting units on the GRAPHS will be faster.The slope of (A) is `2/5` because for every 2 units the line rises, it RUNS 5 units to the right. The slope of (B) is `5/2` because when the line goes up 5 units, it goes 2 units to the right. Therefore (B) is correct.


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