All categories

2 years ago

Find the equation of a line that contains the points (6, -7) and (8,5). Write the equation in slope-intercept form.

Mathematics

1 answer:

Anna [14]2 years ago

6 0

Answer:

y = 6x - 43

Step-by-step explanation:

(6, -7) and (8,5)

m=(y2-y1)/(x2-x1)

m=(5 + 7)/(8 - 6)

m= 12/2

m = 6

y - y1 = m(x - x1)

y + 7 = 6(x - 6)

y + 7 = 6x - 36

y = 6x - 43

You might be interested in

Calculate the area of triangle ABC with altitude CD, given A (6,0) B(1,5) C (2,0) and D (4,2)

Elina [12.6K]

So hmm check the picture below

the height or altitude is CD
and the base is AB

how long are those? well $\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ 6}}\quad ,&{{ 0}})\quad 
% (c,d)
B&({{ 1}}\quad ,&{{ 5}})\\\\
C&({{ 2}}\quad ,&{{ 0}})\quad 
% (c,d)
D&({{ 4}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
AB=\sqrt{(1-6)^2+(5-0)^2}\qquad \qquad CD=\sqrt{(4-2)^2+(2-0)^2}$

7 0

3 years ago

Read 2 more answers

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and

anyanavicka [17]

Answer: 5%

Step-by-step explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) =Winter + Summer - Both + Neither = 100%

75%+ Summer - 40%+ 20%= 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%

5 0

2 years ago

I have problems in solving this questions<br> f(x)=x2+6x+3<br> t (x)= x-3/x+4<br> then find (f.t)(x)

zlopas [31]

I need a bad bleep umm Addison Rae??

3 0

3 years ago

One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a

KATRIN_1 [288]

Answer:

movie: $3.75
video game: $5.75

Step-by-step explanation:

Two equations in two unknowns can be written:

3m +5v = 40

9m +7v = 74

These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to

ax +by = c
dx +ey = f

is given by ...

∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆

For the numbers above,

∆ = 5·9 -7·3 = 24
m = (5·74 -7·40)/24 = 90/24 = 3.75
v = (40·9 -74·3)/24 = 138/24 = 5.75

The rental cost for each movie is $3.75; for each video game, it is $5.75.

___

The attached graph shows a graphing calculator solution to these equations.

5 0

2 years ago

7 x 9 = (1 x 10)-(7 x A)

Ganezh [65]

X^9 is the answer to this problem.

4 0

2 years ago