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3 years ago

A line passes through the points (8, – 7) and (6, – 3). What is its equation in slope-intercept form?

Mathematics

1 answer:

mario62 [17]3 years ago

4 0

Answer:

y = − 2 x + 9

Step-by-step explanation:

Write in slope-intercept form, y = m x + b .

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Can anyone plzzzz help me with this question of linear equation in two varaiable plzzzzzz... Its very important... Plz solve it

kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

$\dfrac 5 y - \dfrac 2 x = \dfrac{13}6$

Multiply by 6xy to clear the fractions.

$30x - 12y = 13 xy$

That's a second degree equation, also known as a conic. That one happens to be a hyperbola.

$30x = y(13 x +12)$

$y = \dfrac{30x}{13 x + 12}$

Let's clear the fractions from the second equation, multiplying out common denominator xy:

$\dfrac {36} x - \dfrac {24} y = 1$

$36y - 24 x = xy$

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

$36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)$

$36(30x) -24 x(13x + 12) = 30x^2$

$1080 x - 312 x^2- 288 x = 30x^2$

$x(792 - 342 x)= 0$

$x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}$

We have to rule out x=0 because it's in the denominator.

$y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}$

$y = \dfrac{33}{20}$

Answer: (44/19, 33/20)

8 0

3 years ago

The diagram shows a right-angled triangle.

Ratling [72]

Where is the diagram?

4 0

3 years ago

What inverse operation should be used to isolate the variable in the equation p − 20 = 50?

shutvik [7]

addition since inverse means opposite

3 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP

lesya692 [45]

Answer:

x^2+14x+49 ( it could be polynomial because it has 3 terms and each term has a whole number and a coefficient)

Step-by-step explanation:

(x+7)^2

(x+7)(x+7)

x^2+7x+7x+49

x^2+14x+49

I am not sure it's a polynomial or not

7 0

4 years ago

4. In a scale drawing, the length of a

skad [1K]

Answer:

1ft=.33in

Step-by-step explanation:

For every 1ft in the room its .33 on paper.

.33333333333333333333333333333x18=6

5 0

3 years ago

Read 2 more answers