SOLUTION: Find the slope of any line parallel to the line through points (15,1) and (4,2). Thanks for your help.

Question 117941: Find the slope of any line parallel to the line through points (15,1) and (4,2). Thanks for your help.
Found 2 solutions by misscrt, MathLover1:
Answer by misscrt(37) (Show Source): You can put this solution on YOUR website!
Find the slope of any line parallel to the line through points (15,1) and (4,2). Thanks for your help.
First find the slope of the line. The slopes will be the same because the lines are parallel.
So,
m=(y2-y1)/(x2-x1)
=(2-1)/(4-15)
=1/-11
= - 1/11
Hope that helps.
Greetings,
misscrt
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
first find equation of the line through points (,) and (,)in form

Solved by pluggable solver: FIND EQUATION of straight line given 2 points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (15, 1) and (x2, y2) = (4, 2).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-0.0909090909090909)x + (2.36363636363636)

Your graph:

the of any line parallel to this line with slope will be because lines have
proof:
if we take as the line parallel to the line through given points, then we have :

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.

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