Answer:
y = 2x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (4, - 1) into the partial equation
- 1 = 8 + c ⇒ c = - 1 - 8 = - 9
y = 2x - 9 ← equation of line
Answer:
The answer is 8 below is how you do it.
Step-by-step explanation:
first combine like terms 3x-8x
then you will have 5x
then do 40/5 and you will get x=8
Answer:Let x and (x-3) represent Elvira's and David's times respectively
D = r*t
Distances traveled are equal in this example***
14mph*x = 21mph(x-3)
solving for x
14x = 21x - 63
63 = 7x
x = 9hr, the time that Elvira traveled. David traveled 6hrs (9hr-3hr = 6hr)
CHECKING our Answer***
14mph*9hr = 126mi = 21mph*6hr = 126mi
Step-by-step explanation:
Once again, I hate proofs so much.
One easy solution is to follow the common logic which is if two lines are both straight and equidistant from each other, SO THEIR PARALLEL, but since education these days asks us to write theses stupid "proofs" here's my attempt:
First off what must we prove to show that two lines are parallel??
Well, the<span> first way is </span>if<span> the corresponding angles, the angles </span>that<span> are on the same corner at each intersection, are equal. If those angles are the same, then the </span>lines are parallel<span>. The second is </span>if<span> the alternate interior angles, the angles </span>that<span> are on opposite sides of the transversal and inside the </span>parallel lines, are<span> equal, then the </span>lines are also parallel<span>.
Well angles 1, 2, 3, 4, 5, 6, 7 and 8 are equal and also 90 degrees, thus the corresponding angles and alternate interior angles are all equal, which means that these two lines are parallel. </span>
