SOLUTION: What is the equation of line through (8,6) and (2,-4), My answer is -4x+2y=-16, but I'm not sure thats for any help.

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Question 68722This question is from textbook finite mathematics
: What is the equation of line through (8,6) and (2,-4), My answer is -4x+2y=-16, but I'm not sure thats for any help. This question is from textbook finite mathematics

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
What is the equation of line through (8,6) and (2,-4), My answer is -4x+2y=-16, but I'm not sure thats for any help.
Here are the Steps that will help you find the equation through point (8,6) and (2, -4).
1. Find the slope of the line through the two point
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Let (8, 6) = x%5B1%5D, y%5B1%5D
(2, -4) = x%5B2%5D, y%5B2%5D


m+=+%28-4-6%29%2F%282-8%29

m+=+%28-10%29%2F%28-6%29 or 5%2F3


2. Write in slope - intercept form. Substitute the coordinates of either point for x and y and solve for b.
Let (x, y) = (2, -4)
y = mx + b
-4+=+%285%2F3%29%282%29+%2B+b
-4+=+10%2F3+%2B+b
-4+-+10%2F3+=+b
-12%2F3+-+10%2F3+=+b
-22%2F3+=+b


3. Substitute m = 5/3 and b = -22/3 to the slope-intercept form of the equation
y = mx + b
y+=+%285%2F3%29x+-+22%2F3 >>> simplify.Multiply 3 both each term of the equation.
highlight+%283y+=+5x+-+22%29

The Graph looks like this

graph+%28300%2C+300%2C+-2%2C+14%2C+-6%2C+8%2C+%285%2F3%29x-%2822%2F3%29%29