Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
Accepted Solution
A:
Two parallel lines have the same slope. If line w is perp. to y = 34x - 11, we must find the slope of y = 34x - 11 and then find the negative reciprocal of that slope. That (neg. recip.) slope will be the slope of line w.
The slope of y = 34x - 11 is 34, and the neg recip. of that is -1/34: slope of w.
Use the point-slope form of the equation of a str. line to find the eqn. of line w:
y - 10 = (-1/34)*(x - (-6) ) => y - 10 = (-1/34)(x+6). This could be rewritten in other forms if desired.