Y = 4x - 1 Simplify and solve when x = 6
2 answers:
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Answer:
point-slope form
(standard form)
Let me know if you prefer another form.
Step-by-step explanation:
The slope of a line can be found using provided you are given two points on the line.
We are.
Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.
(4/5 , 1/5)
-( 1/2 , 3/2)
-----------------
3/10 -13/10
2nd/1st = is our slope.
So the following is point-slope form for a linear equaiton:
Plug in a point .
This gives:
I'm going to distribute:
Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:
Add 26x on both sides:
Add 9 on both sides:
This is actually standard form of a line.
It can be simplified though.
Divide both sides by 2:
(standard form)
↝ f(4) equals to substituting x = 4 in the equation.
Thus,
Therefore, f(4) = 2