A relation is plotted as a linear function on the coordinate plane starting at point E at
(0, 27)
and ending at point F at
(5, −8).

What is the rate of change for the linear function and what is its initial value?

Respuesta :

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 0}} &,&{{ 27}}~) % (c,d) &&(~{{ 5}} &,&{{ -8}}~) \end{array} \\\\\\ % slope = m \stackrel{\stackrel{average}{rate~of~change}}{slope}= {{ m}}\implies \cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-8-27}{5-0}\implies \cfrac{-35}{5}\implies -7[/tex]

well, when x = 0, namely at the very beginning, y = 27, thus, that IS the initial value.

Answer:

x= -7 and y= 27.

Step-by-step explanation: