All categories

11 months ago

Write the equation of a line that is parallel to y=1/2x+4 and goes thru the point(-3,4)

1 answer:

5 0

The standard form equation for a line passing through the point (-3, 4) and parallel to the line denoted by y = 1/2x+4 is 2y - x = 11.

The standard form equation

ax + by = c

Here a, b, and c are constants and therefore use the slope-intercept form.

y = mx + c ...... (1)

where m is the slope, b = y-intercept

y = 1/2x + 4

Slope (m) = 1/2

It passes through a line that has points (-3,4)

Let's find c by putting the value of x = -3 and y = 4 in equation (1).

4 = 1/2 (-3) + c

4 = -3/2 + c

c = 4 + 3/2

=> c = (8+3)/2

=> c = 11/2

Therefore,

y = 1/2x + 11/2

y = (x+11)/2

=> 2y - x = 11

2y - x = 11 is the standard form of the line that passes through (-3,4) and is parallel to the line represented by y = 1/2x+4.

To learn more about the line visit: brainly.com/question/17188072

#SPJ1

You might be interested in

*30 POINTS* In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a dog and a cat. How many children had neither

Gnesinka [82]

Answer:

Step-by-step explanation:

Although I don’t see that answer, with 53 children and 22 having a dog, 18 a cat, and 6 with both, you would think to subtract all three of those numbers with 53 to get the remaining with no dogs or cats, which results to 7

6 0

3 years ago

Read 2 more answers

This is Simple Interest 7 grade Ratio and Percent Problems

erastovalidia [21]

Formula: total = principal x (1 + (interest rate x loan time))

total = 1000 x (1 + (0.055 x 2))

total = 1000 x (1 + 0.11)

total = 1000 x 1.11

total = $1110

8 0

3 years ago

How do you factor 45x^2+295x-140

Vaselesa [24]

I could explain it, but you have to ask me, other than that the answer is 5(x+7)(9x-4).

8 0

2 years ago

Simplify the complex fraction: ((3x-7)/x^2)/(x^2/2)+(2/x)

Archy [21]

Simplify the complex fraction: ((3x-7)/x^2)/(x^2/2)+(2/x)

$\dfrac{ \dfrac{3x-7}{x^2} }{ \dfrac{x^2}{2} } + \dfrac{2}{x} =\qquad \qquad x \neq 0\qquad x^4 \neq 0 \\ \\ \\ \dfrac{(3x-7)*2}{x^2*x^2}+ \dfrac{2}{x} = \\ \\ \\ \dfrac{6x-14}{x^4}+ \dfrac{2}{x} =\\ \\ \\ \dfrac{ 6x-14 }{ x^4 }+ \dfrac{2(x^3)}{x(x^3)}=\\ \\ \\ \boxed{ \dfrac{ 6x-14 +2x^3}{ x^4 } }$

6 0

3 years ago

Organize the following polynomial expressions from least to greatest based on their degree:

Mumz [18]

Answer:

Step-by-step explanation:

We have to organize the given polynomials from the least to greatest based on their degrees.

A). x + 2xyz

Here xyz = $x^{1}y^{1}z^{1}$

Power of x is = 1

Power of y = 1

and power of z = 1

So degree of (x + xyz) will be degree of the highest degree term = 1 + 1 + 1 = 3

B). 9x³y²

Degree of this term = power of x + power of y = 3 + 2 = 5

C). 18x²+ 5ab - 6y

Degree of the polynomial = Highest degree of the variable x = 2

D). $4x^{4}+3x^{2}-x-4$

Degree of highest degree term $4x^{4}$ = 4

So sequence of the polynomials based on their degrees will be

C - A - D - B [From lowest to highest]

8 0

3 years ago