Line l is defined by the equation y – 5x = 4 and line w is defined by the equation 10y + 2x + 20 = 0. If line k does not intersect line l, what is the degree measure of the angle formed by line k and line w? (Assume that all lines lie in one coordinate plane.)
A) 0
B) 30
C) 60
D) 90
E) It cannot be determined from the information given
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IMO [spoiler]D:[/spoiler]
Line l: y – 5x = 4. Slope of this line is 5. Let's say m1 = 5.
Line w: 10y + 2x + 20 = 0 Slope of this line is say m2. m2 = -1/5.
Since m1xm2 = -1, we can say that line l is perpendicular to line w.
Since line k does not intersect line l, it means that line l is parallel to line k. Hence the angle between line k and line w is 90 degress.
Hope this helps.
Line l: y – 5x = 4. Slope of this line is 5. Let's say m1 = 5.
Line w: 10y + 2x + 20 = 0 Slope of this line is say m2. m2 = -1/5.
Since m1xm2 = -1, we can say that line l is perpendicular to line w.
Since line k does not intersect line l, it means that line l is parallel to line k. Hence the angle between line k and line w is 90 degress.
Hope this helps.
