SOLUTION: The problem is... Write an equation for a linear function whose graph has the given characteristics. Passes through (2,5), parallel to the graph of g(x)=4x-7. If you can help me w

Question 965663: The problem is... Write an equation for a linear function whose graph has the given characteristics. Passes through (2,5), parallel to the graph of g(x)=4x-7. If you can help me with the steps i would appreciate it. I can't figure out how to do this one? thank you in advance for your help, i look forward to hearing from you!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for a linear function whose graph has the given characteristics. Passes through (2,5), parallel to the graph of g(x)=4x-7.
:
The given equation has a slope of m=4, parallel lines have the same slope
Start with form: mx + b = y
given that; m = 4; x = 2; y = 5, we can find b
4(2) + b = 5
8 + b = 5
b = 5 - 8
b = -3
therefore the equation is y = 4x - 3
:
:
Confirm this, substitute x with 2 and find y
y = 4(2) - 3
y = 5. agrees with given point
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