What is the equation of a line that has a slope of -1/2 and contains the point (8,1)?

1 answer:

3 0

$(\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{8}) \\\\\\ y-1=-\cfrac{1}{2}x+4\implies y=-\cfrac{1}{2}x+5$

You might be interested in

Calculate the circumference of the cirlce r=2.5 m

dlinn [17]

$C= 2 \pi *R

C= 2 \pi *2,5

C= 5 \pi$

4 0

4 years ago

Read 2 more answers

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

sesenic [268]

Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

4 0

2 years ago

Suppose all the counting numbers are arranged in columns as shown at the right. Under what letter will the number 1000 appear?

pentagon [3]

Letter D because you need to multiply all the letters of the alfabet (36) and multiply 36 by 1000 and then divide the answer by 100 and you get the letter D

4 0

3 years ago

Please help AS LEVEL c2 tell me how to work out

Korolek [52]

$\bf [1-tan(\theta)][2sin(\theta)+1]=0\implies 
\begin{cases}
1-tan(\theta)=0\\\\
1=tan(\theta)\\\\
tan^{-1}(1)=\theta\\\\
\qquad \frac{\pi }{4},\frac{5\pi }{4}\\
----------\\
2sin(\theta)+1=0\\\\
2sin(\theta)=-1\\\\
sin(\theta)=\frac{-1}{2}\\\\
sin^{-1}\left(-\frac{1}{2} \right)=\theta\\\\
\qquad \frac{7\pi }{6},\frac{11\pi }{6}
\end{cases}$

3 0

3 years ago

Show steps and work on how you answered

g100num [7]

Infinite solutions because
3x + 1 = 3x -3 +4
3x + 1 = 3x + 1
(Those are the same if you couldn't tell)

6 0

3 years ago