Answer:
slope = 
, point on line = (3, - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) is a point on the line
y + 4 = (x - 3) ← is in point- slope form
with slope m = and (a, b) = (3, - 4)
The data cannot be modeled by a linear equation because the rate of change is not constant. This can be seen in the fact that when you increase x from 1 to 2, you subtract 3 from the y-values. However, as you add 2 more, you continue to subtract 3 from the y-values. If the function were a linear function, we would likely subtract 6 from the y-values, since that would form a constant ratio.
You can even look at the fact that as we increased the x by 4, we continued to decrease the y by 3. This does not form a constant ratio, and is thus the data could not be modeled by a linear function.
Answer:
y = x+6
Step-by-step explanation:
You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.
Use the coordinates of these points to find the slope of the line.
slope = (7-6)/(1-0) = 1
y-intercept = 6
Slope-intercept equation for line of slope 1 that has y-intercept of 6:
y = x+6
Answer:
Step-by-step explanation:
Question One.
y = -0.4*x + 6.92
The time spent texting is the x value you are given
x = 3.9
y = ?
The value you put in for x is 3.9 and you must use the line. The graph otherwise has nothing to do with it.
y = -3.9*0.4 + 6.92
y = -1.56 + 6.92
y = 5.36
What this is telling you is that the line predicts that if you spend 3.9 hours texting, you should (the line predicts) be exercising 5.36 hours.
Move on.
However what is actually true is that you spent just 4.50 hours exercising.
That means that you actually exercised 6.36 - 4.50 = 0.86 hours less time exercising that the line predicts you would have. So the answer to put in the top line third box from the left is 5.36 and the answer you put in the 4th box from the left is 0.86 hours.
Question Two
y = - 0.4 * x + 6.92
x = 5.5 hours texting
y = ?
y = - 0.4 * 5.5 + 6.92
y = - 2.2 + 6.92
y = 4.72 hours exercising.
The line says you should have exercised exercised 4.72 hours.
You actually did 5.5
So you exercised 5.5 - 4.72 = 0.78 more than you would have if you exercised just what the line predicted you would have done. So you exercised 0.78 hours more than the line thought you should.
Now here's the catch. One of you numbers has to be minus, but which one? You will have to rely on your notes to get the answer to that. You must have been given a sample question
If I had to guess I would say that the minus number is -0.86 because you are under the predicted amount.
The numbers are otherwise correct.
