How to write an equation for the direct variation that includes the given point: (7, -2)?

Question

How to write an equation  for the direct variation that includes the given point: (7, -2)?

Eugene Rich · Accepted Answer

Step 1            the initial statement is               y    ∝    x  to convert to an equation multiply by k the constant of variation      ⇒    y    =    k    x  Step 2use the given point &quot; (7,-2) to find k      y    =    k    x    ⇒    k    =          y      x        =                  -        2            7        =    -          2      7                  the equation is                                                                                                   |                                                                                    2                        2                                                                                                                        y                      =                      -                                              2                        7                                            x                                                                                                                          2                        2                                                                              |                                            ̲                                ¯

How to write an equation for the direct variation that includes the given point: (7,...

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