3. write an equation for the line perpendicular to y = 6x - 5 that contains (2, 10)

Step-by-step explanation:

We are to find the equation for the line which is perpendicular to another line with the equation and passes through a point (2, 10).

Since the slope of a line which is perpendicular to another line is the negative reciprocal of the other line, therefore the slope of our line will be .

Finding the y-intercept:

Therefore, the equation of the line will be .

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.