Parallel to 2x+y=-5
2x+y-2x=-5-2x
y=-2x-5
y=mx+b
Slope: m=-2
As the line is parallel must have the same slope:
m=-2
And it has an x-intercept of 2: when x=2, y=0→Point: P1=(2,0)=(x1,y1)
x1=2, y1=0
y-y1=m(x-x1)
y-0=(-2)(x-2)
y=-2x+4
In standard form:
y+2x=-2x+2x+4
2x+y=4
Answer: The equation of the line, in standard form, that passes through the origin and is parallel to x+y=6 is x+y=0
Steps:
1. Multiply the first line by 3 and the second by 2
3(3x + 2y= 4)
2(8x -3y=-6)
2. New lines are
9x + 6y= 12
16x + -6y=-12
3. Now add/subtract them
25x + 0= 0
25x=0
4. Divide by 25
X=0
5. To find y, substitute the 0 in the x in one of the equations
9x + 6y= 12
9(0) + 6y= 12
6y= 12
6. Divide by 6, your Y=2
7. X=0, Y=2
Answer:
all in all it's y=x
Step-by-step explanation:
A (4,1); B (0,-2)
G=delta y
--------
delta x
1-(-2)
-------
4-0
3/4=G
3/4=y-1/x-4
4 (y-1)=3 (x-4)
4y-4=3x-12
4y=3x+4-12
y=3/4x-3
The slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
We know:
Slope (m) is -4
y-intercept (b) is -1
All you need to do is plug these numbers into the slope intercept formula given above!
y = -4x - 1
Hope this helped!
~Just a girl in love with Shawn Mendes
