Mathematics: Write an equation for a line perpendicular to y=5x−1 and passing through the point (15,2)

Write an equation for a line perpendicular to

Ответ:

anonymous115296

11.01.2022

$\large\boxed{y=-\dfrac{1}{5}x+5}$

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\\text{then}\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2$

$\text{We have}\ y=5x-1\to m_1=5.\\\\\text{therefore}\ m_2=-\dfrac{1}{5}.\\\\y=-\dfrac{1}{5}x+b\\\\\text{Substitute the coordinaes of the given point (15, 2):}\\\\2=-\dfrac{1}{5}(15)+b\\\\2=-3+b\qquad\text{add 3 to both sides}\\\\5=b\to b=5\\\\\bold{FINALLY:}\\\\y=-\dfrac{1}{5}x+5$

0,0(0 оценок)

Ответ:

ExperimentsDIYS

04.11.2021

Mathematics

2341 yards

Step-by-step explanation:

0,0(0 оценок)

Write an equation for a line perpendicular to
y=5x−1
and passing through the point (15,2)

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question