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A line has a slope of 4 and passes through the point (a, b). Which of these points must also lie on this line?

a) (a, b+4)

b) (2a, 8b)

c) (a+1, b+4)

d) (2a, 5b)

 Dec 22, 2014

Best Answer 

 #1
avatar+17747 
+5

Since slope is defined to be "the change in y divided by the change in x", and the greek letter delta (Δ) is used to represent "change in", the formula for slope becomes:  m  =  Δy / Δx

When the slope is 4, m = 4 and this can be written as:  m = 4/1.

So, Δy = 4 and Δx = 1  --->  when x changes by 1, y will change by 4.

Starting at the point (a, b), when you change the x-value by 1, the x-value becomes a + 1; and when you change the y-value by 4, the y-value becomes b + 4.

(a, b)  -->  with a slope of 4  -->  (a + 1, b + 4)

 Dec 22, 2014
 #1
avatar+17747 
+5
Best Answer

Since slope is defined to be "the change in y divided by the change in x", and the greek letter delta (Δ) is used to represent "change in", the formula for slope becomes:  m  =  Δy / Δx

When the slope is 4, m = 4 and this can be written as:  m = 4/1.

So, Δy = 4 and Δx = 1  --->  when x changes by 1, y will change by 4.

Starting at the point (a, b), when you change the x-value by 1, the x-value becomes a + 1; and when you change the y-value by 4, the y-value becomes b + 4.

(a, b)  -->  with a slope of 4  -->  (a + 1, b + 4)

geno3141 Dec 22, 2014

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