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ASHA 777 [7]
3 years ago
14

Please help! question attached

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer:

36. y=x

37. x=4

38. y=3x-10

39. y=-25x+49

40. y=-\dfrac{1}{18}x-\dfrac{89}{18}

41. y=-x+3

Step-by-step explanation:

36. Parallel lines have the same slope. The slope of the line y=x+42 is m=1, so the equation of a parallel line is

y=x+b

This line passes through the point (2,2), so its coordinates satisfy the equation:

2=2+b\\ \\b=0

and the equation of the line is y=x

37. The line x=03 is vertical ine, so parallel line is also vertical line with equation x=a. Substitute the coordinates of the point (4,3):

4=a

hence the equation is x=4

38. Parallel lines have the same slope. The slope of the line y=3x+24 is m=3, so the equation of a parallel line is

y=3x+b

This line passes through the point (2,-4), so its coordinates satisfy the equation:

-4=3\cdot 2+b\\ \\b=-10

and the equation of the line is y=3x-10

39. Parallel lines have the same slope. The slope of the line y=-25x+35 is m=-25, so the equation of a parallel line is

y=-25x+b

This line passes through the point (2,-1), so its coordinates satisfy the equation:

-1=-25\cdot 2+b\\ \\b=49

and the equation of the line is y=-25x+49

40. Perpendicular lines have slopes satisfying m_1\cdot m_2=-1 Since the line y=18x+26 has the slope m_1=18, perpendicular line has the slope m_2 =-\dfrac{1}{18}.

The equation is

y=-\dfrac{1}{18}x+b

This line passes through the point (1,-5), so its coordinates satisfy the equation:

-5=-\dfrac{1}{18}\cdot 1+b\\ \\b=-5+\dfrac{1}{18}=-\dfrac{89}{18}

and the equation of the line is y=-\dfrac{1}{18}x-\dfrac{89}{18}

41. Perpendicular lines have slopes satisfying m_1\cdot m_2=-1 Since the line y=x+2 has the slope m_1=1, perpendicular line has the slope m_2 =-1.

The equation is

y=-x+b

This line passes through the point (4,-1), so its coordinates satisfy the equation:

-1=-4+b\\ \\b=3

and the equation of the line is y=-x+3

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