What is the equation of a line that passes through (4,2) and is parallel to y = 5.?
- 1 decade agoFavorite Answer
well y=5 == > y = 0 x +5 so slope is 0
y= 2 is valid answer
- answerINGLv 61 decade ago
Y = 2 is your answer;
but let me expound for a moment...
Your given line y = 5 is a horizontal line and has ZERO slope and is defined (tho sometimes you will hear someone say your given line has NO slope; which is accurate, but can be ambiguous.)
Were your question for a line parallel to x = (any constant) and passing thru the same point (4,2), then your reply would be
x=4 and this is an equation of a line (again with NO slope, some might say, but it would be less ambiguous to say ) with UNDEFINED slope.
The point is that saying a line has NO slope might mean zero slope or undefined slope; in math you like to avoid ambiguity.
- bignose68Lv 41 decade ago
since y = 5 has no coefficient of x the slope of the line is zero. that means that the line is parallel to the x axis. since the required line is parallel to the given line, it too must be parallel to the x axis and as stated must pass through point (4,2) this means it must pass through y=2 with zero slope therefor the equation is y=2.
- Anonymous1 decade ago
Use the slope-intercept form:
Point slope formula:
That's your answer!