Mathematics, 25.07.2019 19:40 letsgetcookingblog

Find an equation of a line parallel to y=-x-2 and passes through the point (2,-2). write answer form y=mx+b

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To be parallel, this new line has to have the same slope as the other. To find the slope, we look at the number multiplying x.

-x means x is being multiplied by -1, so the slope, or m, is -1.

y = -x + b

Now, input the coordinate point and solve for b.

-2 = -1(2) + b
-2 = -2 + b
Add 2 to both sides.
0 = b

y = -x

Answer from: sharondot2398

Hi there!
The question here is asking us to write an equation of a line in slope-intercept form (y = mx + b) that goes through the point (2, -2) and is parallel to the line y = -x - 2. To do this, we need to take the slope of the original equation, which gives us -1. Now, we can use the point-slope formula - y - y₁ = m(x - x₁) - and plug in all the values and solve for y. We can set x₁ to be 2, y₁ to be -2, and m to be -1.
y - y₁ = m(x - x₁)
y + 2 = -1(x - 2)
y + 2 = -x + 2
-2 -2
y = -x
Therefore, the equation of the line that is parallel to the line represented by the equation y = -x - 2 and passes through the point (2, -2) is y = -x. Hope this helped and have a nice day!

Answer from: Quest

need to see graph

step-by-step explanation:

Answer from: Quest

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be). so point b is at (-2,2). point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

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Find an equation of a line parallel to y=-x-2 and passes through the point (2,-2). write answer form...