Parallel to[tex]y= rac{3}{4} x-4 [/tex]; through (-4,1)

y = x + 4 ._________________________________________________Explanation:________________________...

Mathematics, 24.07.2019 19:00 Rainbowface33

Parallel to $y= \frac{3}{4} x-4$ ; through (-4,1)

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Answer from: browndalton55

" y = $\frac{3}{4}$ x + 4 " .
_________________________________________________
Explanation:
_________________________________________________
We are given an equation in "slope intercept form" ; that is; in the form of :

"y = mx + b" ; in which "y" in isolated on the left-hand side of the equation; with "no-coefficient" (except for the "implied coefficient" of "1");

in which: "m" is the slope of the line; and the coefficient of "x"; and "b" is the "y-intercept" (or the value of the "y-coordinate" of the graph when "x = 0" ;
______________________________________________
We are given: " y = $\frac{3}{4}$ x − 4 " ;

in which the slope; "m", is " $\frac{3}{4}$ " .

Since we want to write the equation, in slope-intercept form, for the line PARALLEL to the given line; we known that the "line" that is "parallel" will have the same slope".

So we can write: " y = $\frac{3}{4}$ x + b" .

Note that we are instructed to find the "parallel line" that passed through:

"(-4, 1)" ;
______________________________________________________
So, in the aformentioned equation, we substitute "-4" for "x" ; and "1" for "y"; to solve for "b" ;
______________________________________
y = $\frac{3}{4}$ x + b ;

1 = $\frac{3}{4}$ * -4 + b ;

→ 1 = -3 + b ;

↔ b + (-3) = 1 ;

↔ b − 3 = 1 ;

Add "3" to each side of the equation:

b − 3 + 3 = 1 + 3 ;

→ b = 4 .
______________________________
Now, since we now that "b" is "positive 4" ; we can write the equation of the parallel line:

" y = $\frac{3}{4}$ x + 4 " .
__________________________________________________

Answer from: Quest

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove.

an inaccurate proof leads to errors, or stating results that are not accurate. which wil mess the probelm up you dont want this

Answer from: Quest

about 0.75 hours

step-by-step explanation:

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Parallel to[tex]y= \frac{3}{4} x-4 [/tex]; through (-4,1)...

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