Determine the equation of the line with the points (–13,10) and (16, 15).

1 answer:

3 0

$\bf (\stackrel{x_1}{-13}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{15}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{15-10}{16-(-13)}\implies \cfrac{5}{16+13}\implies \cfrac{5}{29}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-10=\cfrac{5}{29}[x-(-13)] \\\\\\ y-10=\cfrac{5}{29}(x+13)\implies y-10=\cfrac{5}{29}x+\cfrac{65}{29}\implies y=\cfrac{5}{29}x+\cfrac{65}{29}+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=\cfrac{5}{29}+\cfrac{355}{29}~\hfill$

You might be interested in

In golf, a score of 0 is called even par. A score of 2 under par is written as -2. A score of 4 over par is written as +4 or 4.

patriot [66]

6 under par is written as -6

2 over par is written as 2

even par is written as 0

Total score: add all the numbers together:

-6 + 2 + 0 + 0 = -4 ( 4 under par).

7 0

2 years ago

If a circle has a diameter of 4 inches, what is the area?

gulaghasi [49]

The formula for area of a circle is π × radius^2, and to find the radius we can just divided the diameter by 2 and get 2 inches. You don't need to use a calculator here, because π is approximately equal to 3.14, so 3.14 × 2^2 = 12.56, which is answer B. I hope this helps!

7 0

3 years ago

Read 2 more answers

What is the mean of the following set of numbers? 32, 31, 37, 44 a. 13 b. 34 c. 36

ELEN [110]

Mean is average

so we have 4 numbers
sum them then divide by 4

(32+31+37+44)=144
divide by 4
144/4=36

answer is C

6 0

3 years ago

Multiply or divide as indicated. <br><br> x 2 • x 5

WARRIOR [948]

Hi there!

${x}^{2} \times {x}^{5} = x {}^{2 + 5} = {x}^{7}$

We can also write is out entirely.
${x}^{2} = x \times x$
${x}^{5} = x \times x \times x \times x \times x$
${x}^{2} \times {x}^{5} = \\ (x \times x ) \times (x \times x \times x \times x \times x) = \\ x \times x \times x \times x \times x \times x \times x = \\ {x}^{7}$

6 0

3 years ago

A certain number was divided by 3 and 3 was added to the result. The final answer was 8 what was the number

nevsk [136]

Answer:

Step-by-step explanation:

x/3 + 3 = 8

x/3 + 9/3 = 8

x + 9 = 24

x = 15

5 0

2 years ago