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2 years ago

Choose the correct equation for the line shown on the graph?

Mathematics

1 answer:

fomenos2 years ago

3 0

Answer:

y=-1/4x-1

How to find the slope

To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.

In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.

Slope: -1/4x

How to find the y-intercept

To find the y-intercept, you need to look at where the line crosses y.

In this graph the line crosses y at -1.

Y-intercept: -1

Final equation: -1/4x-1

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Please show step by step

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2 years ago

How to solve: (looking for b) y =mx+b

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3 years ago

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Andreyy89

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2 years ago

A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o

SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

Part B

Do the same thing as in Part A:

$\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4$

Therefore, the average rate of change of $g(x)$ over the interval $[0.25,1]$ is $-4$ .

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

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2 years ago

Identify two angles that are marked congruent to each other on the diagram below.

Katena32 [7]

Answer:

∠ADB ≅ ∠CBD

Step-by-step explanation:

The three arcs at each of D and B identify congruent angles. However, the angles cannot be identified by their vertices alone. The 3-letter designations of the congruent angles are ...

∠ADB ≅ ∠CBD

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2 years ago