All categories

3 years ago

write the equation of 2 lines that have every point in common and write the equations of two lines that intersect at (2,-1)

Mathematics

1 answer:

Anni [7]3 years ago

7 0

To write the equation of two lines that have every point in common, you must have equivalent equations. So begin with any equation for a line ... y= 2x + 5. Multiply it by any integer or fraction... (-2) -2y = -4x - 10 that easy...
OR 8x - 3y = 10 and 24x - 9 = 30 ( multiplied by 3) .... In all reality, as long as you perform the same operation on both sides of the equ

You might be interested in

Write the equation of the line that passes through (5, 6) and (8, 4) in slope-intercept form.

gavmur [86]

Answer:

Step-by-step explanation:

<h3>Equation of the line in slope- intercept form:</h3>

$\sf \boxed{\bf y = mx +b}$

Here, m is the slope and b is the y-intercept

Find the slope with the given two points.

$\sf \boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}$

$\sf =\dfrac{4-6}{8-5}\\\\=\dfrac{-2}{3}$

Slope = -2/3 and choose any one the given points.

Substitute m = -2/3 and (5,6) in the above equation and find 'b'

$\sf 6 =\dfrac{-2}{3}*5+b\\\\6 =\dfrac{-10}{3}+b\\\\6+\dfrac{10}{3}=b\\\\\dfrac{6*3}{1*3}+\dfrac{10}{3}=b\\\\\dfrac{18}{3}+\dfrac{10}{3}=b\\\\\boxed{b=\dfrac{28}{3}}$

Equation of the line:

$y = \dfrac{-2}{3}x + \dfrac{28}{3}$

4 0

2 years ago

What is the result of isolating x2 in the equation below?(x + 1)2 + ( -8)2 =9A. x2 = -y2 - 2x +16y - 56B. x2 = y2 +2x+16y +56C.

Anit [1.1K]

The expression we have is:

$(x+1)^2+(y-8)^2=9$

Step 1. Use the binomial square formula:

$(a+b)=a^2+2ab+b^2$

Applying this formula to the first binomial squared:

$x^2+2x+1+(y-8)^2=9$

Step 2. Apply the formula for the square of a binomial to the second binomial:

$x^2+2x+1+y^2+2(y)(-8)+(-8)^2^{}=9$

In this case, we have some operations to solve before we move on to isolating x. So we solve the operations:

$x^2+2x+1+y^2-16y+64^{}=9$

Step 3. Move the terms that are not x squared to the right side of the expression. Remember that when we move one term from one side of the equation to the other, the term must change its sign. We get the following:

$x^2=9-2x-1-y^2+16y-64$

Step 4. Combine like terms and arrange terms in order from the greatest exponent to the lowest and leave the independent term at the end:

$x^2=-y^2-2x+16y-56$

And that is the final result, which is option A.

Answer: Option A.

3 0

2 years ago

Karen made a scale drawing of her

OlgaM077 [116]

18 feet long, 12 feet wide

5 0

3 years ago

Let y = 7^x. Write an equivalent logarithmic equation.

Fantom [35]

y = log7(x)

....................

5 0

3 years ago

Lin runs 5 laps around a track in 6 minutes.

olga nikolaevna [1]

Answer:

Each Lap= 83 seconds

83 seconds= 1 min and 23 sec

Step-by-step explanation:

I divided the numbers.

Hope this helped!

8 0

3 years ago

write the equation of 2 lines that have every point in common and write the equations of two lines that intersect at (2,-1)​

write the equation of 2 lines that have every point in common and write the equations of two lines that intersect at (2,-1)