could u please help me?

Question

find the equation of the line that passes through the point (-2, -7) and is parallel to the line 2x + 3y = 4

could u show me how to do this?

Answer 1

First, solve for y.....
2x + 3y = 4
2x +3y -2x = 4 - 2x
3y = -2x + 4
3y/3 = (-2x + 4)/3
y = (-2/3)x + 4/3

Now, the slope of the other line will be equal to the slope of this line, which is -2/3. What you don't know is the y-intercept of the new line. So, replace 4/3 with "a" and replace "x" and "y" with the known coordinates.
-7 = (-2/3)-2 +a
a - (-4/3) = -7
a - (-4/3) + (-4/3) = -7 - 4/3
a = -21/3 - 4/3
a = -25/3

Now, you can put x and y back into the equation, using the new value for a, and simplify.
y = (-2/3)x - 25/3
y = (-2x -25)/3
3y = 3(-2x -25)/3
3y = -2x - 25
3y + 2x = -2x + 2x -25
2x + 3y = -25 <==== your answer.

Answer 2

First find the slope of the given line.

2x+3y =4
3y = -2x +4
y = (-2/3)x + 4/3 So the slope of this line is -2/3

Now we want our new line equation to be in the form y=mx+b

We now a point (x,y) on this line (-2,-7), so lets fill that in.

-7 = m(-2) + b.

We also know the slope, m, so fill this in.

-7 = -2/3(-2) + b. We don't know b, so solve for it
-7 = 4/3 + b.
-21/3 = 4/3 + b
-25/3 = b

So now you have all the components of your equation, it is

y = (-2/3)x -25/3

Answer 3

step one: determine the slope of 2x + 3y = 4
simplify: 3y = -2x + 4; by dividing both sides by 3
y = -(2/3)x + 4/3
slope is -(2/3)
step two: determine equation of line parallel passing through (-2,-7)
use the point slope method; general line equation is:
y = mx + b; where m is the slope and b is the
y-intercept
plug in the point (-2,-7) and slope of -(2/3) as follows:
-7 = -(2/3)x(-2) + b;
solve for b;
-7 = 4/3 + b
-7 - 4/3 = b
-(24/3) = b

The line's equation is therefore:

y = (-2/3)x -(24/3)

Answer 4

slope of 2x+3y=4is -2/3
slope of line parallel=-/3
passes through(-2,-7)
the equation
y+7=(-2/3)(x+2)
3(y+7)=-2(x+2)
3y+21=-2x-2
2x+3y+23=0 is the required equation

Answer 5

First you solve for y. 2x+3y=4, you subtract 2x from each side, now you have 3y=4-2x. Then you divide everything by 3 to get y by itself. y= 1.333-.6667x.. This line is parallel to the one you are trying to find so the slopes are the same, .6667. Now you use the point slope formula; y-y1=m(x-x1) SO y-(-7)=.667(x--2). Now you distribute the .667, SO y+7=.667x+1.334. Finally you subtract seven from both sides, Y=.667X-5.666. Hope it's the right answer.

Answer 6

Step 1: Study the equation.
Step 2: A miracle occurs.
Step 3: Answer = Blue

Answer 7

the slope is 2/1

Answer 8

i might want to steer sparkling of Reef, human beings are quicker or later in her existence going to ask her if she has a brother called Reef, as a comic book tale. I also might want to steer sparkling of Reed as its so equivalent to Reef, however it isn't as embarrassing. What about Rhys? i love Orion out of your record or perhaps Lennox. Tidal/Tide is basically undesirable and is Vedder and Rune.

Answer 9

sorry, I'm not the brightest crayon in the box.

Answer 10

Nope.... I had it but but couldn't put it down.....