pickledStar
pickledStar pickledStar
  • 03-10-2020
  • Mathematics
contestada

What is the equation of a line that passes through (1,2) and is perpendicular to the given line?​

What is the equation of a line that passes through 12 and is perpendicular to the given line class=

Respuesta :

Medunno13
Medunno13 Medunno13
  • 29-06-2022

The given line passes through (0,10) and (2,0), so its slope is

[tex]\frac{10-0}{0-2}=-5[/tex]

Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.

Substituting into point-slope form,

[tex]y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}[/tex]

Ver imagen Medunno13
Ver imagen Medunno13
Answer Link

Otras preguntas

help me plz with my hw
What term do former secretary of state Colin L. Powell and former president George W. Bush use to describe the situation in Darfur?
Can a local maximum also be a point of inflection? Explain.
Which word best completes the sentence? Is the girl's hair longer than her __________? A.sisters B.sister C.sister's
Explain what does the ability to build great buildings out of stone tell you about Mayan political power?
Calculate the area of the following figure correct to 2 decimal places if can show or explain work
3. You arrive at an intersection with traffic lights that are not working because of a power outage. What do you do?
what is the original source of energy used during photosynthesis
How do you use an exponent to represent a number such as 16
Light travels as a(n) _______ wave. mechanical compression electromagnetic