Is the equation x=-5-y and 2+y=-x+3 coincident, intersecting, or parallel

1 answer:

4 0

Well first, you have to get both equations to the y= form
y=mx+b

X=-5-y add y to x

y+x=-5 then subtract x

y=-x-5 is your equation
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for the second one:

2+y=-x+3 subtract 2

y=-x+1 is your equation
__________________________
Take both equations and compare:

Both the slopes are the same of -x, so that means the will lines never touch (also because of different y intercept)

So, the answer is parallel.

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What is the gradient of the line 3y=2x-6

Karo-lina-s [1.5K]

Answer:

2/3

Step-by-step explanation:

The gradient of any line in standard form, Ax + By = C is -A/B.

Divide each term by 3 and simplify.

3y = 2x - 6

3y / 3 = y

2x / 3 = 2/3x

6 / 3 = 2

So, y = 2 / 3 x - 2

slope or gradient = 2/3

Explanation:

The first step in finding the slope of a line that is written in standard form is to write the equation in slope-intercept form, y=mx+b. To do this, rearrange the variables. The standard form, Ax + By = C can be rewritten as By = -Ax + C.

Divide by B to simplify

In the equation By = -Ax + C, B needs to be distributed through the equation. To do this, divide both sides by B. The answer is y = (-A/B)x + C/B.

Find the slope

Once the equation of the line is in slope-intercept form and is simplified, then the slope equals the term in front of the x variable. In the standard form from step 2, the slope is -A/B.

7 0

3 years ago

Marta told Maribel “The sum of fifty and half the number of oranges is the same as one-hundred-twenty.” Maribel wrote 50 (one-ha

IRINA_888 [86]

Answer:

Her error was that the half should have been multiplied by m, instead

$50 + \frac{1}{2}m = 120$