Given the graph of function y=kx+by=kx+b. a)Find the value of \mathbf{b}b and angle coefficient k in this graph
b) write the function


Given the graph of function y=kx+by=kx+b. a)Find the value of \mathbf{b}b and angle coefficient k in

Зозяська Зозяська    3   21.12.2020 08:03    2

Ответы
matema2 matema2  20.01.2021 08:04

k = 1 , \: b = 4 ; \\ y = x + 4.

Объяснение:

y = kx + b \\ \text{on \: graph \: we \: can \: see: } \\ y( - 4) = 0; \: y(0) = 4 \\

If x1 = -4, then y1 = 0

If x2 = 0, then y2 = 4.

Also:

y(0) = k \times 0 + b = b = y(0)

k = \frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}

So:

b = y(0); \: \: y(0) = 4 \: &= &b = 4 ; \\ k = \frac{y_2-y_1}{x_2-x_1}; \\ k = \frac{4-0}{0-( - 4)} = \frac{4}{4} & = &k = 1 \\

And function is:

y = x + 4

ПОКАЗАТЬ ОТВЕТЫ
Другие вопросы по теме Алгебра