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taylorwhitfield6
15.01.2020 •
Mathematics
Answer any of the following questions:
1. write the equation of the line which passes through (5, –2) and is parallel to x = 4.
2. write the equation of the line which passes through (2, 1) and is perpendicular to x = –2.
3. write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form.
4. write the equation of the line which passes through (2, –3) and is perpendicular to y = 4x + 7 in standard form.
5. using complete sentences, describe one example of a place in your everyday life of parallel lines and one example of perpendicular lines
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Ответ:
1. Write the equation of the line which passes through (5, –2) and is parallel to x = 4.
The equation of the line that is parallel to x =4 would be an equation that the never intersect y and has an infinite slope. So, the equation should be x = 5.
2. Write the equation of the line which passes through (2, 1) and is perpendicular to x = –2.
The equation should be x = 2.
3. Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form.
The slope of the line should be equal to the given equation.
y - 2 = -1(x - (-4))
y = -x + 6
4. Write the equation of the line which passes through (2, –3) and is perpendicular to y = 4x + 7 in standard form.
The slope of the line should be the negative reciprocal to the given equation.
y - -3 = -1/4(x - (2))
y = -1/4 x - 5
5. Using complete sentences, describe one example of a place in your everyday life of parallel lines and one example of perpendicular lines.
Parallel lines - sides of a book
Perpendicular lines - window pane
Ответ:
2.) the line x = -2 is a vertical line, hence required line is a horizontal line with equation y = 1.
3.) line y = -x + 6 has a slope of -1, hence, required equation is y - y1 = -1(x - x1)
y - 2 = -(x - (-4))
y - 2 = -(x + 4)
y - 2 = -x - 4
y = -x - 4 + 2
y = -x - 2
Ответ:
answer:
y=x2
Step-by-step explanation: