Question attached
write equation parallel to a given line
write equation of a line perpendicular to a given line

36. y=x

37. x=4

38. y=3x-10

39. y=-25x+49

40.

41. y=-x+3

Step-by-step explanation:

36. Parallel lines have the same slope. The slope of the line is so the equation of a parallel line is

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

and the equation of the line is

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

hence the equation is

38. Parallel lines have the same slope. The slope of the line is so the equation of a parallel line is

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

and the equation of the line is

39. Parallel lines have the same slope. The slope of the line is so the equation of a parallel line is

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

and the equation of the line is

40. Perpendicular lines have slopes satisfying Since the line has the slope perpendicular line has the slope

The equation is

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

and the equation of the line is

41. Perpendicular lines have slopes satisfying Since the line has the slope perpendicular line has the slope

The equation is

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

and the equation of the line is

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

1; 35 is the ratio

step-by-step explanation: