The graph of linear function f passes through the point (1,-9) and has a slope of -3 What is the zero of f?

-2

Step-by-step explanation:

Given parameters:

      Coordinates  = (1, -9)

  Slope  = -3

Unknown:

Zero of the f = ?

Solution:

The equation of the line is;

                     y  = mx + c

The zero of the equation is the value of the variable (x) when the independent variable is zero;

     y and x are the coordinates

         m is the slope

        c is the y-intercept;

since y = -9 and x = 1;

    - 9 = -3(1) + c

    - 9 = -3 + c

        c = -9 + 3  = -6

 Now, the equation of the line is;

                y  = -3x - 6

   the zero of the function, y = 0;

         0 = -3x - 6

         -3x = 6

           x  = -2

The zero of the function is  -2

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

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