Write the equation for the line that passes
through the given point and is parallel to the
given line.(2, 1); y=-3x+8

y=-3x+7

Step-by-step explanation:

Parallel means the lines have the same slope.

So they practically give you the slope as -3

Now we can use the form of an equation of a line

Y=mx+b

now we have m- the slope we just need to plug in the coordinate values given- (2,1)

Y=-3x+b

1=(-3·2)+b

1=-6+b

b=7

now we add to our original equation

we know m= -3

we know b=7

that's all we need

substitute

y=mx+b

becomes

y=-3x+7

Hope this helps

~lalagrl

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1