SOLUTION: how would i write the equation for a pair of parallel lines with the points: (-4,-1), (1,1) [one of them] and (-2,-5), (3,-3) [the other]???

Question 59475This question is from textbook
: how would i write the equation for a pair of parallel lines with the points:
(-4,-1), (1,1) [one of them] and (-2,-5), (3,-3) [the other]??? This question is from textbook

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
how would i write the equation for a pair of parallel lines with the points:
(-4,-1), (1,1) [one of them] and (-2,-5), (3,-3) [the other]???
You're right the lines would be parallel.
The slope of the first line can be found with the slope formula: , where (x1,y1) and (x2,y2) are given points and m is slope.
For (-4,-1) and (1,1) the slope is:

The slope of the other 2 points is also 2/5. All parallel lines have the same slope.
:
Once you have a slope and a point you can write the equation of a line using the point-slope formula , m=slope, and (x1,y1)=any point on the line:
For the first set of points, let m=2/5 and (x1,y1)=(1,1)

For fun, you can use the other point to get this same equation.
:
I'll let you prove that I'm right about the slope of the other two points is also m=2/5 (x1,y1)=(-2,-5)

Now use the other point to get this same equation for fun.
Happy Calculating!!!
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