SOLUTION: I know this question has a a lot of sections but I have been working on this question for 2 weeks and I can't get it. Could you please show all workings on the parts you choose yo

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Question 799721: I know this question has a a lot of sections but I have been working on this question for 2 weeks and I can't get it. Could you please show all workings on the parts you choose yo help.
A. Draw a graph of the line that passes through(0,3) and has a gradient of 1.
B.state the equations
C. Draw the line. Y=5-x on the same set of axes
D. State the co-ordinate a of point of intersection
E. Solve the equations simultaneously to confirm your answer to part d.
Please if someone could help, I would appreciate it very much
Thanks
Deanna
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A. Draw a graph of the line that passes through(0,3) and has a gradient of 1.
slope = 1
Form: y = mx + b
Solve for "b":
3 = 1*0 + b
b = 3
-----
Equation:
y = x + 3
============================
B.state the equations
y = x + 3
--------------------------
C. Draw the line. Y=5-x on the same set of axes
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%2B3%2C5-x%29
--------------------------
D. State the co-ordinate a of point of intersection::
Ans: (1,4)
--------------------------
E. Solve the equations simultaneously to confirm your answer to part d.
y = x+3
y = -x+5
-----
Add and solve for "y":
2y = 8
y = 4
---
Solve for "x":
y = x+3
4 = x + 3
x = 1
----
Ans: (1,4)
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Cheers,
Stan H.
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