SOLUTION: Find an equation of the line passing through the given points. Use function notation to write the equation. (2,3) and (3,6) f(x)=

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line passing through the given points. Use function notation to write the equation. (2,3) and (3,6) f(x)=      Log On


   

Question 992984: Find an equation of the line passing through the given points. Use function notation to write the equation. (2,3) and (3,6)
f(x)=
Answer by MathLover1(20850) About Me  (Show Source):
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Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, 3) and (x2, y2) = (3, 6).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%286-3%29%2F%283-2%29+=+3.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 3%2A2+%2Bb+=+-3. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=3-3%2A2+=+-3.

y=(3)x + (-3)

Your graph:




so, your line is f%28x%29=3x+-3