What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:
Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:
What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.
Add 2 to both sides to isolate b.
Which means that -2 = b.
Now that we have the y intercept, we can write the equation of the line, which is .
Hope this was helpful.
Answer:
y =
Step-by-step explanation:
using the addition formula for sine
sin(x + y) = sinxcosy + cosxsiny
then
sinxcosy + cosxsiny = sinx + cosx
for the 2 sides to be equal , then
cosy = and siny =
then
y = ( ) =
and
y = ( ) =
thus y =
Answer:
It is not a good model because neither point lies on the line.
Step-by-step explanation:
We can test each point on the equation of the line.
7x - 10y = 3
Point: (8, 5)
7(8) - 10(5) = 56 - 50 = 6
The left side equals 6, not 3, so point (8, 5) is not on that line.
Point: (-12, -9)
7(-12) - 10(-9) = -84 + 90 = 6
The left side equals 6 again, but the right side is 3, not 6.
Answer: It is not a good model because neither point lies on the line.
Answer is Provided in the image attached.
Answer:
M= -2
B=1
Step-by-step explanation:
<u><em>Y-intercept</em></u><em> is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero</em>
<em><u>Slope</u></em> <em>is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:</em>
<em>So now input how much it changes by adding the numbers from each coordinate:</em>
<u>Simplify:</u>
<u /><u />
<em>But we write it as:</em>
-4/2
<em>This is because this looks more like division</em>
<u>Divide:</u>
-4/2=-2
So, your slope is <em><u>-2</u></em> and the y- intercept is <em><u>1</u></em>
I hope this helps u pls give a brainliest and a thx ;)