Answer:
blue line: 20
black line: -20
Step-by-step explanation:
use rise (y) over run (x)! as the blue line goes from points (8,80) to (9,100) the difference in the x or run is 1 while the difference in the y or rise is 20 which makes it 20/1 = 20. for the black line, because it's going down it indicates it will be a negative slope, use the same trick as last time, our first point is (5,20) and our next point is (6,0) the difference in x is 1 and the difference in y is -20, so -20/1 = -20! hope this helped :-)
Answer : 23
-5 * -4 = 20 ( when you multiply 2 negatives the answer is always positive )
20 + 3 = 23
Y=- \frac{7}{3}

.
To find the equation of a line, you need two things: the slope and the y-intercept.
The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:

Then divide both sides three:
b

So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}
Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.

Solving this, we can subtract 7/3 from both sides:

Therefore, b=

Plugging the m= - \frac{7}{3} and the b=

back into the y=mx+b format, your parallel line is y=- \frac{7}{3}

.
Answer:
Yes, the student is correct
Step-by-step explanation:
Given

Required
Does it represent the x intercept
At the x intercept, the value of x is 0.
So, the function
becomes 
can be compared to 
Hence, the student is correct
Answer:
x = 27
Step-by-step explanation:
Both angles together form 180 degree.
Set your formula up as
180 = (5x+2) + (x + 16)
180 = 5x + 2 + x + 16
180 = 6x + 18
180 - 18 = 6x
162 = 6x
162/6 = x
27 = x