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Y_Kistochka [10]
3 years ago
8

Write a linear function f with the values f (-1) = 5 and f (3) = 4. A function is f(x) =

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

Step-by-step explanation:

Since we have points (-1,5) and (3,4) we can find the slope m of y=mx+b

m=(y2-y1)/(x2-d1)=(5-4)/(-1-3)=1/-4=-1/4 so we have

y=-x/4+b, using point (3,4) we can solve for the y intercept, b.

4=-3/4+b, b=19/4, so the line is

y=(-x+19)/4

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A(0, 8)

Point B(4, 5)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{5-8}{4-0}
  2. [Fraction] Subtract:                                                                                         \displaystyle m=\frac{-3}{4}
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