A line has a slope of -2 and contains the points (3, 5) and (4, y). The value of y is 7 3 -3

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asked Oct 26, 2020 104k views

2 Answers

Kcpr · Answer 1 · 2020-11-01T00:52:42+0000

For this case we have that by definition, the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

We have as data that:

$m = -2\\(x_ {1}, y_ {1}) :( 3,5)\\(x_ {2}, y_ {2}) :( 4, y)$

Substituting we have:

$-2 = \frac {y-5} {4-3}\\-2 = \frac {y-5} {1}\\-2 = y-5\\-2 + 5 = y\\y = 3$

Finally, the value of y is 3.

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