Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!

14.

15.

16.

17.

18.

19.

20.

Step-by-step explanation:

Solving (14):

Given

Equation in form is:

Substitute values for y1, m and x1

Collect Like Terms

Solving (15):

Given

Equation in form is:

Substitute values for y1, m and x1

Collect Like Terms

Solving (16):

Given

First, we need to calculate the

Equation in form is:

Substitute values for y1, m and x1

Collect Like Terms

Solving (17):

Given

First, we need to calculate the

Equation in form is:

Substitute values for y1, m and x1

Collect Like Terms

18.

Given

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

Where represents the slope

Going by the format of an equation, ; by comparison

and

Equation in is:

Substitute values for y1, m and x1

19.

Given

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

Where represents the slope

Going by the format of an equation, ; by comparison

and

Equation in is:

Substitute values for y1, m and x1

Collect Like Terms

20.

Given

First, we need to calculate the slope of the given points

Next, we determine the slope of the perpendicular bisector using:

Next, is to determine the coordinates of the bisector.

To bisect means to divide into equal parts.

So the coordinates of the bisector is the midpoint of the given points;

So, the coordinates of the midpoint is:

Equation in form is:

Substitute values for y1, m and x1: &

Collect Like Terms

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2