help...

A line has equation 3x + 2y = 6. Find the equation of the line parallel to this which passes through the point (2,10)

i know when someone tells me this ill feel so stupid (Wondering)

Printable View

- December 16th 2008, 06:22 AMRubbishAtMathsparallel equation to the line
help...

A line has equation 3x + 2y = 6. Find the equation of the line parallel to this which passes through the point (2,10)

i know when someone tells me this ill feel so stupid (Wondering) - December 16th 2008, 06:33 AMtester85
3x + 2y = 6

2y = -3x + 6

y = -3/2x + 3

The gradient of the parallel line is -3/2

Substitute (2,10) into y = -3/2x + c and find c

10 = -3/2(2) + c

10 = -3 + c

c = 13

Therefore the equation of the line is y = -3/2x + 13 - December 16th 2008, 06:36 AMRubbishAtMaths
(Rofl)

cheers matey - December 16th 2008, 06:37 AMTall JessicaQuote:

A line has equation 3x + 2y = 6. Find the equation of the line parallel to this which passes through the point (2,10)

3x + 2y = 6

2y = -3x + 6

y = -(3/2)x + 3

Now, since parallel lines have the same slope, you can set up your new equation, with the new points, using the same slope.

y - y1 = m(x - x1)

y - 10 = -3/2(x - 2

Again, solve for "y"

y - 10 = -3/2(x - 2

y - 10 = -3/2x + 3

y = -(3/2)x + 13 (<==ANSWER!!) :-)