A robot begins moving on a linear path at (2, 1). When it reaches (5, 2) , the robot turns 90° counterclockwise and continues to move linearly. After the turn, what is the y -coordinate of the robot's position when its x - coordinate is 3 ?

Q: An object moves with constant velocity (which means constant speed and direction) from (-3, 1) to…

A: By using slope intersept formula and distance formulas we solve the given problem

Q: Find the equation of the line perpendicular to y=−2y= through the point (3,2)

A:

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: Does the equation y=5csc(2x+6pi)- 6 include a vertical shift? Horizontal shift?

A: Given equation,  y = 5cosec(2x + 6π) - 6 Does it include horizontal shift and vertical shift?

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

A:

Q: Perpendicular to 6x - 3y = 18, passing through (4,-3)

A: We have given,A line 6x - 3y = 18 and a point (4,-3)

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

A: Given

Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: Write the equation of a linear model through the points (600,19) and (2000,5)?

A: The given points are (600,19) and (2000,5). It is known that, the equation of the line passes…

Q: Parallel to y = 11, through (-12,3)

A: The slope of line y=k is 0. Any two parallel lines have equal slopes.