Question

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Answer 1

Answer:

1. y=2x-9

5. y = | x | + 6.5

6. y = | x – 5.5 |

7. y = | x + 8|

Step-by-step explanation:

There is not enough given information for some of the problems. Here are the solutions and reasons for those that area solvable:

Write a perpendicular line to the equation -3x-6y=17 by finding its slope and then flipping it to the negative reciprocal:

So -3x-6y=17 becomes y=-1/2x-17/6 where m = -1/2. The perpendicular slope is 2.

Using the point given, write the equation in point slope form and simplify to the slope intercept form:

$y-y_1=m(x-x_1)\\y-3=2(x-6)\\y-3=2x-12\\y=2x-9$

When translating functions, remember:

• Shifting left or right is addition and subtraction respectfully inside the function.
• Shifting up and down is addition and subtraction respectfully outside the function.

5. A translation of 6.5 units up is +6.5 outside the function y=|x| so equation y=|x|+6.5 is the translation.

6. A translation of 5.5 units to the right is - 5.5 inside the function y=|x| so equation y=|x-5.5| is the translation.

7. A translation of 8 units to the left is +8 inside the function y=|x| so equation y=|x+8| is the translation.