Posted by **<3** on Sunday, October 25, 2009 at 12:23pm.

write an equation of the line that is parallel to the given line and passes through the given point.

y=-4x-7, (5,-3)

y=-2/3x+4, (-5,5)

- maths -
**MathMate**, Sunday, October 25, 2009 at 4:40pm
First, from a given line, the slope can be identified if the equation of the line is put into the slope-intercept form as:

y = mx + b

For example,

2x + 3y = 5 can be rearranged to

y = (-2/3)x + 5/3

From which we can identify the slope as (-2/3).

One the slope is defined, if the line is to pass through a given point with coordinates (x1,y1), the equation of the line sought is:

y = m(x-x1) + y1

So if a line parallel to the above line is to pass through (3,2), the equation would be:

y = (-2/3)(x - 3) + 2, or

y = (-2/3)x + 4

## Answer this Question

## Related Questions

- Algebra 1 - Write an equation in slope-intercept form for a line that passes ...
- Pre- Algebra - Given an equation of a line, how do I find equations for lines ...
- math - I need help with "write in equation in slope-intercept form for the line ...
- math - i have more than one question so if u no any of the answers please tell ...
- Calculus - Write an equation of the line that passes through the point (i) ...
- algebra - 1. write an equation of the line that passes through the point and has...
- college alg - Find (a) the equation of a line that is parallel to the given line...
- algebra - write an equation in slope-intercept form for the line that is ...
- Bunn high - write an equation for the line that is parallel to the given line ...
- Math - How are you supposed to write an equation for the line that is parallel ...

More Related Questions