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d1i1m1o1n [39]
3 years ago
14

Choose the equation that represents a line that passes through points (−3, 2) and (2, 1).

Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

y=-\frac{1}{5}x+\frac{7}{5}

Step-by-step explanation:

The given line passes through points (−3, 2) and (2, 1).

We use the formula m=\frac{y_2-y_1}{x_2-x_1} to find the slope of this line.

\implies \frac{1-2}{2--3}=\frac{-1}{5}

We use the point slope formula:

y-y_1=m(x-x_1)

y-2=-\frac{1}{5}(x--3)

y-2=-\frac{1}{5}(x+3)

We expand to get:

y-2=-\frac{1}{5}x-\frac{3}{5}

y=-\frac{1}{5}x-\frac{3}{5}+2

The slope intercept form of the line is:

y=-\frac{1}{5}x+\frac{7}{5}

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Answer:

l = 15 and w = 25

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l  - w =  - 10

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Adding both equations

2l = 30

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subtracting both equation

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A recipe requires 1/2 cup of sugar for every batch of cakes. How batches of cakes can be made with 5 1/2 cups of sugar?
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Please Do These Three Equations And Show Work
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Answer:

We have the function:

f(x) = x^3 - 2*x^2

To sketch this, we need to graph some points, and then just draw a line that passes through the points.

The graph of this equation is shown below.

Now we can complete the question.

If the graph is below the x-axis in some interval, the function is negative in that interval

If the graph is above the x-axis in some interval, the function is positive in that interval.

If the graph goes up in a interval, then the function is increasing in that interval

If the graph goes down on an interval, then the function is decreasing in that interval.

Then:

1) f is------ on the intervals (−∞, 0) and (0, 2).

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f is negative on the intervals (−∞, 0) and (0, 2).

2) f is------ on the interval (2,∞)

Here the answer is positive:

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In the graph, you can see that the graph goes down in that interval, then the correct answer here is:

f is decreasing on the interval (0, 4/3)

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In this case, we can see that the graph goes up in these intervals, then the correct answer here is:

f is increasing on the intervals (−∞, 0) and (4/3, ∞).

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