Question 1138682
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We are looking for an equation of the form<br>
y = ax+b<br>
Each time the input increases by 1, the output increases by 4.  That means a is 4.  So our equation is<br>
y = 4x+b<br>
When the input x is 1, the output y is 7:<br>
7 = 4(1)+b
7 = 4+b
b = 3<br>
The linear equation is y = 4x+3.