I am given the slope-intercept form equation of a line, and I am asked to find the equation (in slope-int form) of a parallel line passing through a given point (the point is given as an ordered pair (x,y).
2007-02-23 05:21:57 · 2 answers · asked by Kendal 1 in Education & Reference ➔ Homework Help
Hello ..
recall..
Two lines are parallel if and only if there is slope is equal ..
lets take a example to understand this question ..
find the equation of line passing through ( 2, 4 ) and parallel to line y = 3x + 5
we have given y = 3x + 5 is parallel to required line so slope of both line are equal ..
compare y = 3x + 5 to y = mx + c ...where m is the slope of the line ...therefore slope of required line is m = 3
Use POINT SLOPE FORM of line
suppose line is passing through (x 1, y1) and having a slope m then equation of line is
( y - y1) = m (x - x1)
in this question line is passing through (x1, y1) = ( 2 , 4) and slope m = 3
Equation of line is
y - 4 = 3 ( x - 2)
y - 4 = 3x - 6
y = 3x - 6 + 4
y = 3x - 2 is the final answer ..
Hope you understand this ..
bye ]
2007-02-23 06:15:06 · answer #1 · answered by RAKESHtutor 3 · 0⤊ 0⤋
a parellel line will have the same slope. just put in the intercept point into the equation
2007-02-23 05:30:24 · answer #2 · answered by Anonymous · 0⤊ 0⤋