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what is the y intercept to the next 3 problems, (0,3) (2,5) then (-2,4) (3,-1) then (-3,3) (1,2)

 Apr 3, 2015

Best Answer 

 #1
avatar+33663 
+10

The y-intercept occurs when x = 0.

 

For the first pair you are told that when x = 0, y = 3, so the y-intercept is 3.

 

For the others (assuming a straight line is involved) find the slope from (y2-y1)/(x2-x1) and

equate this to (y2 - yintercept)/(x2-0)

 

So, for the second problem:  (-1 - 4)/(3 - -2) = (-1 - yintercept)/(3 - 0)

or:  -5/5 = (-1 - yintercept)/3

 

Simplify and multiply both sides by 3

-3 = -1 - yintercept

Add yintercept +3 to both sides to get:    yintercept = 2

 

I'll leave you to use the same technique on the third problem.

.

 Apr 3, 2015
 #1
avatar+33663 
+10
Best Answer

The y-intercept occurs when x = 0.

 

For the first pair you are told that when x = 0, y = 3, so the y-intercept is 3.

 

For the others (assuming a straight line is involved) find the slope from (y2-y1)/(x2-x1) and

equate this to (y2 - yintercept)/(x2-0)

 

So, for the second problem:  (-1 - 4)/(3 - -2) = (-1 - yintercept)/(3 - 0)

or:  -5/5 = (-1 - yintercept)/3

 

Simplify and multiply both sides by 3

-3 = -1 - yintercept

Add yintercept +3 to both sides to get:    yintercept = 2

 

I'll leave you to use the same technique on the third problem.

.

Alan Apr 3, 2015

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