YA
8
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,). Q(,0)
7 키
6|
5
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
41
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
21
3 2 1
-3 -2 -1 0
-1
2 3
AX
2
o
No

Question

04-05-2021
Mathematics

Answered

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YA
8
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,). Q(,0)
7 키
6|
5
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
41
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
21
3 2 1
-3 -2 -1 0
-1
2 3
AX
2
o
No

YA 8 P And Q Are Points On The Line 4x 2y 8 A Complete The Coordinates Of P And Q Po Q0 7 키 6 5 B Plot Points P And Q On The Graph Use The Tool To Plot The Coor class=

Sagot :

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Oeerivonaidn Oeerivonaidn · Answer 1 · 2021-05-08T21:32:13-04:00

Answer:

a) P(0, 2), Q(4, 0)

b) Please find attached the plot of the points P and Q on a chart made with MS Excel

c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel

Step-by-step explanation:

The given equation for the line is 4·x + 2·y = 8

a) The coordinates of P = P(0, _)

Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)

When y = 0 from the given equation, we get;

4·x + 2·y = 8

At the point y = 0;

4·x + 2 × 0 = 8

x = 8/4 = 2

x = 2

∴ The coordinates of P = P(0, _) = P(0, 2)

Similarly, when x = 0, we get;

4·x + 2·y = 8

At the point x = 0;

4 × 0 + 2·y = 8

y = 8/2 = 4

y = 4

∴ The coordinates of Q = Q(_, 0) = Q(4, 0)

b) Rewriting the given equation in terms of 'y' gives;

y = (8 - 4·x)/2 = 4 - 2·x

y = 4 - 2·x

With the help of MS Excel, the points P and Q are plotted in the attached graph

c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.

Sagot :

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