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3 years ago

5. Which of the following is the equation of a line. that passes through the points (0.8) and (6.4)7 Use of

Mathematics

1 answer:

andriy [413]3 years ago

8 0

See in the explanation

<h2>Explanation:</h2>

In this exercise, <em>we have the following points:</em>

$(0.8) \\ \\ (6.4)$

And <em>the following linear equations:</em>

$(1) \ y=-x+8 \\ \\ (2) \ y=\frac{3}{2}x+6 \\ \\ (3) \ y=-\frac{4}{5}x+4 \\ \\ (4) \ y=\frac{1}{2}x+8$

When plotting these graphs, we find the following facts:

We see the graph in the first figure below. The graph only passes through the point (0, 8)

This is the second graph below. The graph passes neither through point (0, 8) nor (6, 4)

This is the third graph below. The graph passes neither through point (0, 8) nor (6, 4)

This is the fourth graph below. The graph only passes through the point (0, 8)

So, <em>there is no any equation of the line that passes through the points (0.8) and (6.4) at the same time.</em>

<em />

<h2>Learn more:</h2>

About lines: brainly.com/question/12169569

#LearnWithBrainly

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What is the slope of this line?

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$slope=\frac{1}{4}$

Step-by-step explanation:

The slope of a line can be seen as:

$\frac{rise}{run}$

Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.

In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:

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Therefore, the slope is $\frac{1}{4}$ .

This is true for any two points on the line.

:Done

*When you move up, the number will be positive $(\frac{+y}{x} )$ . If you move down, the number will be negative $(\frac{-y}{x} )$ . If you move left, the number will be positive $(\frac{y}{+x})$ . If you move right, the number will be negative $(\frac{y}{-x} )$ . Keep this in mind. It is very important.