Question

Find the equation of a line parallel to

y=9x that contains the point (−9,7).
a)y=9x−72
b)y=9x+72
c)y=9x−63
d)y=9x+63

Answer 1

To find the equation of a line parallel to y=9x that contains the point (-9,7), we use the point-slope form of a line.

Step-by-step explanation:

To find the equation of a line parallel to y=9x that contains the point (-9,7), we need to consider two things: the slope and the y-intercept. Since the line we are looking for is parallel to y=9x, it will have the same slope of 9. Using the point-slope form of a line, the equation becomes y - y1 = m(x - x1). Substituting in the values, we get y - 7 = 9(x - (-9)). Simplifying this equation, it becomes y - 7 = 9x + 81. Finally, rearranging the equation to the standard form, we have y = 9x + 88.