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3 years ago

What is an equation of the line through (-1,-4) and parallel to the line 3x+y=s

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

line: 3x + y = s

y = s - 3x

To two lines be parallel both angular coeficients need to be equal

In y = s - 3x our angular coeficient is -3

y = ax + b where a is angular and b is linear

Now we have the equation

(y - yo) = m.(x - xo)

(y - (-4)) = -3.(x - (-1))

y + 4 = -3.(x + 1)

y + 4 = -3x - 3

y = -3x - 3 - 4

y = -3x - 7 is parallel to y = -3x + s

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Plz help i need answer ASAP

Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3>Reading the graph!</h3>

The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>Intercepts:</h3>

When a line meets both the axes (x-axis and y-axis), it forms intercepts.

There are two types of intercepts:

x-intercept (when the line meets the x-axis)
y-intercept (when the line meets the y-axis)

Each of their length is equal to their distance from the Origin(0, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>Equation of a line (intercept form):</h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

$\boxed{ \mathsf{ \frac{x}{a} + \frac{y}{b} = 1 }}$

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<h3>Equation of the line in question:</h3>

x-intercept (a) = -1
y-intercept (b) = 2

$\implies \mathsf{ \frac{x}{( - 1)} + \frac{y}{2} = 1 }$

The sign of the denominator is taken by the numerator:

$\implies \mathsf{ - \frac{x}{1} + \frac{y}{2} = 1 }$

Taking LCM:

$\implies \mathsf{ \frac{ - 2x + y}{ 2} = 1 }$

Cross multiplying:

$\implies \mathsf{ - 2x + y = 2 }$

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Isolating y:

$\implies \mathsf{ \underline{ y = 2 + 2x }}$

That's the equation of the given line!

6 0

3 years ago

If A2 = A, which matrix is matrix A? [64 5 5 -4 –4. $4] 0.5 -0.57 -0.5 0.5 0.5 0.51 -0.5 0.5] (

Alborosie

Answer:

what? are you asking

Step-by-step explanation:

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3 years ago

Several mountain climbers move up a mountain

Dimas [21]

Answer:

2 5/8

Step-by-step explanation:

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3 years ago

What is -7+13+8X -2 Please help meee step by step

erik [133]

Answer:

-1/2 = x
OR
-0.5 = x

Step-by-step explanation:

1) Isolate x from the equation by making it equal to zero
(Reminder that everything crossing over to the other side of the equation changes it's symbols from positive to negative, and vice-versa is the original symbol was negative)

-7 + 13 + 8x - 2 = 0
-7 + 13 - 2 = -8x

2) Add up common terms on the left side

-9 + 13 = -8x
4 = -8x

3) Divide the entire equation by the number that would leave "x" by itself the factor or number that leaves the number by itself is negative eight since its the number with the equation (-8)

4/-8 = -8x/-8
-1/2 = x
OR
-0.5 = x

Hope this helps :)
Also, if you can is it ok if you can give me brainliest on this?

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2 years ago

Mrs giunntini lawn is triangle shaped with a base of 25feet and height of 10feet what os the area

mixer [17]

The area is 125ft squared.

8 0

3 years ago

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