2 years ago

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .

2 answers:

6 0

Answer:

$\sf y=9x-5$

Step-by-step explanation:

$\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}$

3 0

The answer above is correct

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The average rate of change of the function from x = 0 to x = 2 is -2

From the complete question (see attachment), we have the following ordered pair when x = 0 and x = 2

$(x,y) = \{(0,10)\ (2,6)\}$

The average rate of change is calculated using:

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

So, we have:

$\Delta x = \frac{6-10}{2-0}$

Evaluate common terms

$\Delta x = \frac{-4}{2}$

Divide -4 by 2

$\Delta x = -2$

Hence, the average rate of change of the function from x = 0 to x = 2 is -2