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ss7ja [257]
3 years ago
5

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

d Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Mathematics
2 answers:
masha68 [24]3 years ago
6 0

<span>Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:</span>

<span>
</span>

y-y₁ = m(x-x₁), where,

m = (y₂-y₁)/(x₂-x₁) is the slope of the line

(x₁,y₁) and (x₂,y₂) are the coordinates of the two points


On the other hand, the slope-intercept form is written as:


y = mx + b, where,

m is the slope of the line

b is the y-intercept


In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation. 

Andru [333]3 years ago
5 0

Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.

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X/3-15=-2 solve for x
Otrada [13]

Answer:

x = 45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/3-(15)=0

Step  1  : <u>Simplify</u>

\frac{x}{3}      

Equation at the end of step  1  :

\frac{x}{3} -  15  = 0    

Step  2  :

<u>Rewriting the whole as an Equivalent Fraction :</u>

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :            

15=\frac{15}{1} =\frac{15*3}{3}

<u>Equivalent fraction :</u> The fraction thus generated looks different but has the same value as the whole

<u>Common denominator : </u>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

\frac{x-(15*3)}{3} =\frac{x-45}{3}

Equation at the end of step  2  :

\frac{x-45}{3} =0

Step  3  :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

\frac{x-45}{3}*3=0*3

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-45  = 0

Solving a Single Variable Equation :

<u>Solve  :</u>    x-45 = 0

Add  45  to both sides of the equation :

x = 45

One solution was found :

x = 45

3 0
3 years ago
P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)
Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}⇒(1)

\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}⇒(2)

\frac{2x-14}{x-7}=2⇒(3)

From (1) , (2) and (3)

The quotient of the long division is x^{2}+x+2 and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

(x^{2}+x+2)(x-7)=x^{3}-6x^{2}-5x-14

8 0
3 years ago
Please help.
allochka39001 [22]
I think it is 2.6 seconds
7 0
3 years ago
Helpppppppp here plz
miv72 [106K]

Answer:

x + x+12 + 3(x+12) = 123

x = 15

Step-by-step explanation:

Jamil : x

Kiera : x+12

Luther : 3 ( x+12)

x + x+12 + 3(x+12) = 123

Distribute

x + x+12 + 3x+36 = 123

Combine like terms

5x+ 48 = 123

Subtract 48 from each side

5x+48-48 = 123-48

5x =75

Divide by 5

5x/5 = 75/5

x = 15

7 0
3 years ago
Read 2 more answers
What does it take to be a friend?
dangina [55]

Answer:You need to be nice

Or just be you own way

But be nice

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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