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Answer:
y = 3n - 2
Step-by-step explanation:
so to find the slope or rate of change we use the equation
y 2 - y1 / x2 - x1
soo lets use the points
(1, 1) and (2, 4)
4 - 1/ 2 - 1
3/1
3
y = 3n + b
now we substitute a point we did not use yet
(3, 7)
7 = 3(3) + b
7 = 9 + b
b = -2
y = 3n - 2
now check
(4,10)
10 = 3(4) - 2 ?
10 = 12 - 2 ?
10 = 10
Answer:
y = 3n - 2
Step-by-step explanation:
y = mx + b or y = nx + b
Where m or n represents the slope
[tex]m\ or\ n=\frac{y_2-y_1}{x_2-x_1} \\\\m\ or\ n=\frac{4-1}{2-1} \\\\m\ or\ n=\frac{3}{1} \\\\m\ or\ n=3[/tex]
y = 3n + b
(n, y) ==> (2, 4)
y = 3n + b
4 = 3(2) + b
4 = 6 + b
-6 -6
-2 = b
y = 3n - 2
Check your answer using (2, 4):
y = 3n - 2
4 = 3(2) - 2
4 = 6 -2
4 =4
This statement is correct
Hope this helps!