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4 years ago

What is the correct order of steps to change 4x+2y=14 from standard form to slope intercept form

Mathematics

2 answers:

Mariulka [41]4 years ago

5 0

Answer:

1)2y=14-4x

2)y=7-2x

Step-by-step explanation:

Isolate y

then divide by 2

Please mark brainliest.

Fed [463]4 years ago

4 0

Answer:

$y=-2x+7$

Step-by-step explanation:

$4x+2y=14\\\\4x-4x+2y=14-4x \leftarrow\text {Subtract 4x on both sides.}\\\\2y=14-4x\\\\\frac{2y=14-4x}{2}\leftarrow\text {Divide by 2 to isolate y.}$

$y=7-2x\\\\\boxed{y=-2x+7}\leftarrow\text {Rearrange.}$

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A line has this equation: y=-3x+7

Vadim26 [7]

Given:

The equation of line is $y=-3x+7$ .

A line is parallel to given equation and passes through the point (-4,-8).

To find:

The equation of parallel line.

Solution:

The equation of a line is

$y=-3x+7$

On comparing this equation with $y=mx+b$ , we get

$m=-3$

So, slope of given line is -3.

We know that, slopes of parallel lines are equal. It means, the slope of the parallel line is also -3.

The parallel line passes through (-4,-8) and having slope -3. So, the equation of line is

$y-y_1=m(x-x_1)$

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$y+8=(-3)(x+4)$

$y+8=-3x-12$

$y=-3x-12-8$

$y=-3x-20$

Therefore, the equation of parallel line is $y=-3x-20$ .

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