Question

Write an equation of a line parallel to y = -6x + 10 that goes through the point (2, -5).

a) y = -6x + 10
b) y = -6x - 5
c) y = 6x - 5
d) y = 6x + 10

Answer 1

To find an equation of a line parallel to y = -6x + 10 that goes through the point (2, -5), use the point-slope form of a linear equation and the slope of the given line.

Step-by-step explanation:

To find an equation of a line parallel to y = -6x + 10 that goes through the point (2, -5), we need to find the slope of the given line and then use the point-slope form of a linear equation. The given line has a slope of -6, so any line parallel to it will also have a slope of -6. Using the point-slope form with the given point, the equation of the line is y = -6x - 17.