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evablogger [386]
2 years ago
11

What is the slope of the line passing through the points (2, 5) and (0, –4)?

Mathematics
2 answers:
damaskus [11]2 years ago
8 0
I think the gradient would be 1 and the y intercept would be -4 

iragen [17]2 years ago
5 0
In order to find the slope of line that passes through 2 points, use the equation slope=rise/run
rise = 5-(-4) =9
run = 2- 0 =2
slope = rise/run = 9/2
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4. Multiply. Write each answer in simplest form: (-3/4)(1/2)(-2/3)
m_a_m_a [10]

Step-by-step explanation:

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8 0
3 years ago
1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a
Sunny_sXe [5.5K]

Answer:

The equation x=4 represents in R^2 c) a line

The equation x=4 represents in R^3 a) a plane

The equation y+3x=2 represents in R^3 a) a plane

The equation z-4y=8 represents d) a plane

The pair of equations y=2,z=8 represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , x=a with a ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set x=4 we will have only one free variable in R^2 (which is a line in R^2). Therefore, x=4 represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set x=4 we will have only two free variables (y and z) and x=4 will represent a plane (which have two dimensions) in R^3.

2) The equation y+3x=2 in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation y+3x=2 in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation z-4y=8 represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations y=2,z=8 set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0
2 years ago
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The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.

Given:

16,12,10,15,7,9,16

Form the above data given;

Rearranging for easy identification, we have;

7,9,10,12,15,16,16

\begin{gathered} 7\text{ appears once} \\ 9\text{ appears once} \\ 10\text{ appears once} \\ 12\text{ appears once} \\ 15\text{ appears once} \\ 16\text{ appears twice} \end{gathered}

From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.

Therefore, the mode is 16.

4 0
1 year ago
if a person weighs 150 lb. bicycles at 10 mph for 1 minute and loses 8.1 calories, how many calories would they lose in 1 hour?
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Answer:

the answer will be 486 calories

Step-by-step explanation:

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7 0
2 years ago
How do I completely factor 4x^2-64?
Salsk061 [2.6K]
4x^2 - 64

= 4(x + 4) (x - 4)


4 0
2 years ago
Read 2 more answers
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