Mathematics, 15.07.2021 04:40 akeemedwards12

What’s the equation of a line that goes through the point (0, -3/5) and has a slope of -1?

Answers: 1

Show answers

Answers

Answer from: nonjabulomabaso7423

$\large{ \tt{ ✽ \: S \: O \: L \: U \: T \: I \: O \: N: }}$

We're provided : Point A [ Let's suppose ] ( 0 , -3/5 ) and slope = -1 and we're asked to find out the equation of a line having these point and slope. Let A ( 0 , -3/5 ) be ( x₁ , y₁ ).Firstly , You'll have to know : y - y₁ = m ( x - x₁ )

$\large{ \tt{✺ \: S \: O \: L \: V \: I \: N \: G \: ...}}$

$❁ \: \large{ \tt{y - y_{1} = m(x - x_{1} )}}$

$\large{ \tt{⟶ \: y - ( - \frac{3}{5} ) = - 1(x - 0)}}$

$\large{ \tt{⟶ \: y + \frac{3}{5} = - x + 0}}$

$\large {\tt{⟶ \: \frac{5y + 3}{5 } = - x }}$

$\large{ \tt{⟶ \: 5y + 3 = - 5x}}$

$\boxed{\large{ \tt{⟶5x + 5y + 3 = 0}}}$

Hence , 5x + 5y + 3 = 0 is the required equation.Hope I helped! Let me know if you have any question regarding my answer and also don't hesitate to reach out to me if you need any other help! :)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer from: Quest

2x^2 -2x -12 = 02(x -3)(x +2) = 0see below for explanation

step-by-step explanation:

equation

you are asked to write the equation

expression = 0

using the given expression. when you do that, you have

2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

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

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

-6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

x - 3 = 0

x = 3 . . . add 3 to both sides of the equation

x +2 = 0

x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

Answer from: Quest

A. p = 2(l + w)p/2 - l = ww = p/2 - l b. while isolating the variable w in the equation, i first divided both sides by 2 and then i subtracted l from both sides. i hope this .

Another question on Mathematics

Mathematics, 21.06.2019 17:00

Ajar of gumballs contains 4 reds, 2 greens, and 6 blues. what is the probability of getting two blues in a row without replacement?

Answers: 1

Answer

Mathematics, 21.06.2019 19:50

The probability that an adult possesses a credit card is .70. a researcher selects two adults at random. by assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is:

Answers: 3

Answer

Mathematics, 21.06.2019 21:20

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.

Answers: 2

Answer

Mathematics, 21.06.2019 22:40

Aclassmate thinks that solving a system by graphing gives an exact answer when the lines appear to cross at a grid point, but only an approximate answer when they don't. explain why this isn't true.