93.8k views
2 votes
Which of the following lines is perpenducular to the line y = 5x - 10 and passes the through the point

(-10, 12)?
a) y=-5x+5
b) y=-5x+6.
c) y=-1/5x+10
d) y=-1/5x+6

User Heavysixer
by
8.3k points

1 Answer

3 votes

Final answer:

To find a line perpendicular to y = 5x - 10 and passing through (-10, 12), we can find the negative reciprocal of the slope of the given line and use the point-slope form of a linear equation.

Step-by-step explanation:

To determine which line is perpendicular to y = 5x - 10 and passes through the point (-10, 12), we need to find the negative reciprocal of the slope of the given line. The slope of y = 5x - 10 is 5, so the negative reciprocal of 5 is -1/5. We can then use the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in the values (-10, 12) and -1/5 for m, we can calculate the equation of the line:

y - 12 = -1/5(x - (-10))

y - 12 = -1/5(x + 10)

y - 12 = -1/5x - 2

y = -1/5x + 10

Therefore, the line that is perpendicular to y = 5x - 10 and passes through the point (-10, 12) is y = -1/5x + 10. None of the given options match this equation, so the answer is none of the above.

User Laxmidi
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.