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mr_godi [17]
3 years ago
7

Find the equation for the line that passes through -1,-2 and 4,3. Is the point 3,1 on the line

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

Answer:

  • y = x -1
  • no

Step-by-step explanation:

A graph quickly answers this question.

__

The given points have a horizontal difference of 4-(-1) = 5 and a vertical difference of 3-(-2) = 5, so the slope of the line between them is ...

  m = Δy/Δx = 5/5 = 1

The point-slope form of the equation for a line can be written ...

  y = m(x -h) +k . . . . . for slope m through point (h, k)

Using the first point and the slope we found, we can write the equation as ...

  y = 1(x -(-1)) +(-2)

  y = x -1 . . . . . . . . . simplify; this is the equation of the line

__

When we try the third point in this equation, we get ...

 y = 3 -1 = 2 ≠ 1 . . . . . the third point is not on the line

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Write an equation for the line graphed.
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Answer:

the answer is "d" because the x region is negative 2 and the y region is a positive1

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3 years ago
Find the coordinates of the fourth vertex that completes the construction of the rectangle on the coordinate plan
SOVA2 [1]

The coordinates of the fourth vertex are (2, -4).

Step-by-step explanation:

Step 1:

The opposite sides of a triangle are always equal.

First, we plot the three given points of the rectangle.

Assume the top left corner is A, the top right corner is B, the bottom left corner is C and the bottom right corner is D.

We need to determine the coordinates of point D.

Step 2:

The coordinates of the given three points are

A (-2, 5), B (2, 5), and C (-2, -4).

A and C are the same side i.e. the left side, they have the same x coordinate of -2.

So B and D will have the same x coordinate of 2.

A and B are on the same side too i.e. the top side so they both have the same y coordinate of 5.

The points C and D are two ends of the bottom side so they must have the same y coordinate of -4.

So the coordinates of the fourth vertex are (2, -4).

4 0
3 years ago
Need help asp please
Anna [14]

Answer:

Step-by-step explanation:

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3 years ago
A parabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve
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Step-by-step explanation:

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Read 2 more answers
Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show
djyliett [7]

Answer:

C) The third table. K= 5

C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5

Step-by-step explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

k=\frac{y}{x}

2)In this case, when we divide the temperature (T) by the time (h).

k=\frac{T}{h}

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}

3 0
3 years ago
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