Answer:
The equation of the line is:
Step-by-step explanation:
Given the points
Finding the slope between the points
We know the slope-intercept form of the line equation
where m is the slope and b is the slope-intercept form
substituting the value m=2 and the point (-2, -5) to find the b-intercept
-5 = 2(-2) + b
b = -5+4
b = -1
Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line
y=mx+b
y=2x+(-1)
y=2x-1
Thus, the equation of the line is:
Division is the inverse of the multiplication.
Answer:
37.5 in
Step-by-step explanation:
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One Answer: Choice C) 0 < x < 1
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Explanation:
Let's go through the answer choices one at a time.
- Choice A represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.
- Choice B is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.
- In contrast, choice C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.
- Choice D is false because choice C was shown to be true.
8-5=3
19-11=8
3/8=0.375
Rate of Change: 0.375
