Mathematics, 26.10.2020 14:10 rireneb

Which equation of the straight line is parallel to 4y=3x+5

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Answer from: liddopiink1

Line given in option B will be parallel to the line 4y = 3x + 5.

Equation of the line given in the question is,

4y = 3x + 5

Convert the equation into slope-intercept form,

$y=\frac{3}{4}x+\frac{5}{4}$

Slope of the line = $\frac{3}{4}$

y-intercept of the line = $\frac{5}{4}$

Property of two parallel lines,

If two lines having slopes m_1 and m_2 are parallel,

Therefore, all the lines having slope $\frac{3}{4}$ will be parallel to the given line "4y = 3x + 5".

Option A

Equation of the line → y = 3x + 5

Slope of the line = 3

Option B

Equation of the line → 4y = 3x - 1

$y=\frac{3}{4}x-\frac{1}{4}$

Slope of the line = $\frac{3}{4}$

Option C

Equation of the line → 3y = 4x + 5

$y=\frac{4}{3}x+\frac{5}{3}$

Slope of the line = $\frac{4}{3}$

Option D

Equation of the line → -4y = 3x + 5

$y=\frac{-3}{4}x-\frac{5}{4}$

Slope of the line = $-\frac{3}{4}$

Option E

Equation of the line → 4y = x + 5

$y=\frac{1}{4}x+\frac{5}{4}$

Slope of the line = $\frac{1}{4}$

Therefore, line given in Option B will be parallel to the line having equation "4y = 3x + 5".

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Answer from: animexcartoons209

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4y = 3x + 5 ( divide all terms by 4 )

y = $\frac{3}{4}$ x + $\frac{5}{4}$ ← in slope- intercept form

with slope m = $\frac{3}{4}$

Parallel lines have equal slopes

Consider the given equations

y = 3x + 5 ⇒ m = 1 ← not parallel

4y = 3x - 1 ⇒ m = $\frac{3}{4}$ ← parallel

3y = 4x + 5 ⇒ m = $\frac{4}{3}$ ← not parallel

- 4y = 3x + 5 ⇒ m = - $\frac{3}{4}$ ← not parallel

4y = x + 5 ⇒ m = $\frac{1}{4}$ ← not parallel

The only line parallel to the given line is B

Answer from: Quest

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

Answer from: Quest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

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