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The ordered pairs (0, 1), (3, 10), and (4, n) are solutions of the same linear equation. Find n.

User Maxcnunes
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1 Answer

1 vote

Answer:

Answer:

n = 19

Explanation:

1. Find the linear equation (this means use the formula for a line which is: y=mx+b)

m is the slope

b is the y-intercept (where the line crosses the y-axis)

x and y are points

2. Find m

Use the slope formula

m = (y2 - y1)/(x2-x1)= (10-1)/(3-1) = 9/2

m = 9/2

3. Plug a point back in to find b

(Using first point)

1=(9/2)(0)+b

1=b

So Equation is y=(9/2)x+1

4. Plug in (4,n)

4 = x

n = y

n = (9/2)*4 + 1

n = (9*2) + 1

n = 18 + 1

n = 19

User Aminoff
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