5. Which of the following is the equation of a line. that passes through the points (0.8) and (6.4)7 Use of
1 answer:
See in the explanation
<h2>Explanation:</h2>In this exercise, <em>we have the following points:</em>
And <em>the following linear equations:</em>
When plotting these graphs, we find the following facts:
<h3>For (1):</h3>We see the graph in the first figure below. The graph only passes through the point (0, 8)
<h3>For (2):</h3>This is the second graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (3):</h3>This is the third graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (4):</h3>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>
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<h2>Learn more:</h2>About lines: brainly.com/question/12169569
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Answer:
(x, y) = (-0.6, 0.8) or (1, 4)
Step-by-step explanation:
Use the second equation to substitute for y in the first.
(x -1)² +((2x +2) -2)² = 4
x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses
5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms
Now we can rearrange the middle term to ease factoring by grouping.
(5x² -5x) +(3x -3) = 0
5x(x -1) +3(x -1) = 0
(5x +3)(x -1) = 0
The values of x that make these factors zero are ...
x = -3/5, x = 1
The corresponding values of y are ...
y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5
y = 2(1) +2 = 4 . . . . . . . . for x = 1
The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).
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A graphing calculator verifies these solutions.
