SOLUTION: The points (1,-5) and (0,c) fall on a line with a slope of -8. What is the value of c? c= thank you

Algebra ->  Linear-equations -> SOLUTION: The points (1,-5) and (0,c) fall on a line with a slope of -8. What is the value of c? c= thank you       Log On


   

Question 1088690: The points (1,-5) and (0,c) fall on a line with a slope of -8. What is the value of c?
c=
thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

The two points are (1,-5) and (0,c)

So (x1,y1) = (1,-5) and (x2,y2) = (0,c)

A more detailed breakdown is shown below

x1 = 1
y1 = -5
x2 = 0
y2 = c

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We will plug these four values, along with the given slope m = -8, into the slope formula below.
Then we will solve for c.

m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

-8+=+%28c-%28-5%29%29%2F%280-1%29

-8+=+%28c%2B5%29%2F%280-1%29

-8+=+%28c%2B5%29%2F%28-1%29

-8%2A%28-1%29+=+%28%28c%2B5%29%2F%28-1%29%29%2A%28-1%29 Multiply both sides by -1

8+=+c%2B5

8-5+=+c%2B5-5 Subtract 5 from both sides

3+=+c

c+=+3 This is the final answer