All categories

3 years ago

Graph the line that passes through the points (-1,-6) and (-8,8) and determine the equation of the line.

Mathematics

2 answers:

Ne4ueva [31]3 years ago

7 0

Answer: 2x - 7y - 40 = 0

Step by step explanation:

(-1,-6) (-8,-8)

Slope (m) = y-y/x-x

m = (-8- -6)/(-8 - -1)

m = 2/7

y-y=m(x-x). Use one of the points: (-1,-6)

y - - 6 = 2/7 (x - - 1)

y+6=2/7(x+1)

y+6=2/7x+2/7

Multiply both sides by 7

7y+42=2x+2

2x—7y-40=0

Standard form =

mojhsa [17]3 years ago

3 0

Answer:

y = -2x-8 ------> the equation of the line

Step-by-step explanation:

y = mx + b

8 = -2(-8)+b

= 16 + b

-16 -16

-----------

-8 = b

y^2 - y^1 / x^2 - x^1

= 8-(-6) / -8-(-1)

= -14/7

= m = -2

Final answer: y = -2x-8

You might be interested in

PLS HELP WILL GIVE BRAINEST

Nataly_w [17]

Answer:

D. is your answer

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?

postnew [5]

$23, a $20 bill plus $3 tip

4 0

3 years ago

Please help and explain

Murrr4er [49]

Answer: Option A

$x=\frac{3+i}{2}$ or $x=\frac{3-i}{2}$

Step-by-step explanation:

Use the quadratic formula to find the zeros of the function.

For a function of the form

$ax ^ 2 + bx + c = 0$

The quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case the function is:

$2x^2-6x+5=0$

$a=2\\b=-6\\c=5$

Then using the quadratic formula we have that:

$x=\frac{-(-6)\±\sqrt{(-6)^2-4(2)(5)}}{2(2)}$

$x=\frac{6\±\sqrt{36-40}}{4}$

$x=\frac{6\±\sqrt{-4}}{4}$

Remember that $\sqrt{-1}=i$

$x=\frac{6\±\sqrt{4}*\sqrt{-1}}{4}$

$x=\frac{6\±\sqrt{4}i}{4}$

$x=\frac{6\±2i}{4}$

$x=\frac{3\±i}{2}$

$x=\frac{3+i}{2}$ or $x=\frac{3-i}{2}$

3 0

4 years ago

Complete the equation of the line through (-10,-7)(−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis and (-

Rom4ik [11]

Answer:

Step-by-step explanation:Given:

Two points (-10,-7),(-5,-9).

To Find:

Equation of line through these points?

Step-by-step explanation:

We know equation of line through is given by

Put the value in equation we get

Hence, equation of line is 5y+2x=-55.

5 0

2 years ago

Read 2 more answers

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the

pychu [463]

Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height

Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7

9 years after it was planted: 16 feet
so x= 9 y=16

With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.

To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )

Now we can make the equation
y = 3x -11

7 0

3 years ago

Graph the line that passes through the points (-1,-6) and (-8,8) and determine the equation of the line. ​

Graph the line that passes through the points (-1,-6) and (-8,8) and determine the equation of the line.