Use the order pairs to write a function rule. Give the tule in slope-intercept form.

1 answer:

3 0

to get the equation of any straight line, we simply need two points off of it, so hmmm let's use say (-1 , -1.25) and (8 , -3.5)

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1.25})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3.5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3.5}-\stackrel{y1}{(-1.25)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-1)}}}\implies \cfrac{-3.5+1.25}{8+1}\implies \cfrac{-2.25}{9}\implies -\cfrac{~~ \frac{225}{100}~~}{\frac{9}{1}} \\\\\\ -\cfrac{225}{100}\cdot \cfrac{1}{9}\implies -\cfrac{9}{4}\cdot \cfrac{1}{9}\implies -\cfrac{1}{4}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1.25)}=\stackrel{m}{-\cfrac{1}{4}}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+1.25=-\cfrac{1}{4}(x+1)\implies y+\cfrac{5}{4}=-\cfrac{1}{4}x-\cfrac{1}{4} \\\\\\ y=-\cfrac{1}{4}x-\cfrac{1}{4}-\cfrac{5}{4}\implies y=-\cfrac{1}{4}x-\cfrac{6}{4}\implies y=-\cfrac{1}{4}x-\cfrac{3}{2}$

You might be interested in

What is the weekly earnings of $4.75 per hour, 37 hours if all hours over 50 are paid time and a half?

Stels [109]

37* 4.75 =175.75

no overtime since there are no hours over 50

Answer: $175.75

7 0

2 years ago

Five years ago Gary invested $10,000 into an account that makes 6% compounded annually. The value in the account after x years i

dlinn [17]

$y=10000(1.06)^x
\\y(5)=10000(1.06)^5
\\y(5)=10000 \times 1,3382255776
\\y(5)=13382.255776 \approx 13382.26$

7 0

2 years ago

Read 2 more answers

What is 2+2. 15 points Get it right

Otrada [13]

The answer for this is 4

4 0

2 years ago

Read 2 more answers

How much money will you have at the end of one year if interest is compounded semiannually at 10% on a $600 deposit?

Masja [62]

The formula required to answer this is:
$A=P(1+\frac{r}{n})^{nt}$
where A is the amount of the principal P after n compounding periods per year at r interest rate (as a decimal fraction).
Plugging in the given values, we get:
$A=600(1+\frac{0.1}{2})^{2\times1}=661.5$
Rounding to the nearest dollar, we get $662.00. Therefore a is the best answer choice.

6 0

3 years ago

Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane

liraira [26]

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

$P = (\frac{1}{2}, \frac{\sqrt 3}{2})$