In Parallelogram Pqsr What is Pq

<h2>Reply 1: P1: (X1, Y1) =(0,0)
and
P2: (X2, Y2)=(4,six), slope=three/2</h2>

In this part we can accept the bespeak of the begining and the end of the red line. Taking into account each point has an X component and a Y component:

P1: (X1, Y1) =(0,0)
and
P2: (X2, Y2)=(4,6)

With this ii points nosotros can utilize the equation of the gradient
:

This is the
slope of the red line

At present nosotros take to write the
equation of the line
in the class

Where

is the <u>intersection point with the y-centrality</u> and tin can be calculated using 1 of the points (we will use (4,half dozen)) and the slope ():

Hence:

This is the equation of the red line

<h2>Respond 2:P1: (X1, Y1) =(4,6)
and
P2: (X2, Y2)=(6,2), slope=-2</h2>

Here we will approach the problem similarly every bit we did in part 1:

Two terminate points of bluish line:
P1: (X1, Y1) =(iv,6)
and
P2: (X2, Y2)=(vi,2)

Calculating the slope:

This is the
slope of the bluish line (notation the negative sign indicates information technology is a decline line)

Computing the intersection bespeak (we volition utilize (4,6)):

Hence, the
linear equation of the decline blueish line
is:

<h2>Respond 3: P1: (X1, Y1) =(6,2)
and
P2: (X2, Y2)=(10,five), slope=3/4</h2>

For the green line nosotros have:

P1: (X1, Y1) =(6,two)
and
P2: (X2, Y2)=(x,5)

For the slope:

This is the gradient of the greenish line

<h2>Answer 4: Blue line is the steepest of the three.</h2>

At present we have to compare the gradient of each of the iii lines:

Ruby-red line:

Bluish line:

Green line:

How mathematically can nosotros tell it is the steepest?

As we tin can come across blueish line has the greatest gradient (remember the negative sign only indicates the direction of the slope). This ways the
Blueish line is the steepest of the three.

<h2>Answer 5: The orange track is not a part
</h2>

How do we know information technology?

Graphically, a part is identified past drawing a vertical line on it, if this line cuts to the plotted line at more than than ane point, this is non a role.

In this sense,
if we describe a vertical line in the last region of the graph, this line will cutting it in more than ane bespeak. Therefore it is not a role.

<h2>Respond six:

or [0,12]</h2>

A office is represented graphically past a correspondence between the elements of the domain gear up and those of the range gear up.

What does this mean?

The Domain of a function is the fix of all the existent values ​​the variable X can accept and that can be seen in the graph.

For instance, in this case the roller coaster is defined for all values ​​of 10 that are betwixt 0 and 12 (both included)

<h2>Answer seven:

or [0,eight] </h2>

The Range of a role refers to the values ​​taken by the “Y” function (dependent variable), since its value depends on the value we give to “X”.

Graphically, the style to determine the Range is to graph the function and come across the values ​​that “Y” takes from the bottom upward. That is, the values ​​that accept the variable “y” for certain values ​​of 10.

For example, in this graph of the roller coaster the range is defined for all the values of Y betwixt 0 and 8 (both included).