Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, -3) and is parallel to the line with equation y = 2/3x + 1
Does this make sense? Thank you.
2006-08-09 08:14:40 · 6 answers · asked by sistermoon 4 in Education & Reference ➔ Homework Help
Equations for lines are y=mx+b
y=y coordinate
m=slope
x=x coordinate
b= y intercept
When you want something to be paralell they have the same slope so the equasion that satisfies line "L" will have the slope of 2/3
Now you have to plug the numbers into the equasion to make it work
You have "y, x, and m" already. THis makes the equasion:
-3=0(2/3)
That means the equasion says -3=0. SInce we know that isn't true, you can now use (-3) as your number for "b" since that will make the equasion true.
SO you're equasion is now -3=0(2/3) -3
The equasion is now true since -3=-3
So you final answer is y=2/3x-3 (You don't have to substitute in x and y)
If you're still confused email me.
2006-08-09 16:19:16 · answer #1 · answered by gravytrain036 5 · 0⤊ 0⤋
When two lines are parallel, this means they have the same slope. The slope for the line with a given equation is 2/3. Since you're given the y intercept, you can just use the general form: y = mx+b.
m (slope) = 2/3
b (y-intercept) = -3
L's equation should be y = (2/3)x-3
2006-08-09 08:59:49 · answer #2 · answered by sekimeko 2 · 0⤊ 0⤋
Well you already know the slope y=mx+B m= slope, and the y intercept b in the first equation, then you should be able to figure out an equation.
2006-08-09 08:20:15 · answer #3 · answered by Lady 5 · 0⤊ 0⤋
parallel to y=2/3x+1
therefore slope is 2/3 and passes through (0,-3)
equation is y+3=2/3(x-0)
=>3y+9=2x
=>2x-3y-9=0
2006-08-09 08:25:33 · answer #4 · answered by raj 7 · 0⤊ 0⤋
equtation of line having slope m and y- intercept c is y=mx+c
so required equaton is y=2/3 x - 3
2006-08-09 08:48:38 · answer #5 · answered by flori 4 · 0⤊ 0⤋
y=(2/3)x+1
y=(2/3)x-3
so line L=y=(2/3)x-3
2006-08-09 08:27:09 · answer #6 · answered by Anonymous · 0⤊ 0⤋