3 years ago

Two lines that have the same y intercept and different slopes intersect at exactly one point.

Mathematics

2 answers:

jek_recluse [69]3 years ago

6 0

Answer:

False. They will be parallel to each other

Anit [1.1K]3 years ago

4 0

Answer:

false they would be parallel lines

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

$y-y_ {0} = m (x-x_ {0})$

We have the following points:

$(x_ {1}, y_ {1}) :( 2,6)\\(x_ {2}, y_ {2}) :( 4,0)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-6} {4-2} = \frac {-6} {2} = -3$

We chose a point:

$(x_ {0}, y_ {0}) :( 4,0)$

Substituting in the equation we have:

$y-0 = -3 (x-4)\\y = -3 (x-4)$

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