SOLUTION: Find the slope of any line perpendicular to the line through points (0,5) and (-3,-4). I have tried to read and reread this and going over the material, please help. Much appre

Question 115901: Find the slope of any line perpendicular to the line through points (0,5) and (-3,-4).
I have tried to read and reread this and going over the material, please help.
Much appreciated for your time,
Barb Neely
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First step, find the slope of the line that goes through those two points.
The slope of a line given two (x,y) points is :

There is a relationship between the slopes of perpendicular lines.
They are negative reciprocals of each other.
or

You already know the first slope.

The slope of the perpendicular line is -1/3.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
first find the equation of the line through points (0,5) and (-3,-4)

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) = (0, 5) and (x2, y2) = (-3, -4).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(3)x + (5)

Your graph:

then find slope of any line perpendicular this line:

perpendicular lines have slopes as negative reciprocals
Since a slope for this line is , slope for the line perpendicular to this line will be
example line is:

graph both together:

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

Add to 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 intersect at the point (,) (note: you might have to adjust the window to see the intersection)

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