Solve the following system of linear equations by graphing.
1 answer:
Answer:
See Explanation
Step-by-step explanation:
For : (0,3) (2,2)
The equation is in slope intercept form. y=mx+b
The y intercept is 3.
The slope is 1/2.
Moving one unit down and 2 units to the right, we get (2,2)
For : (0,-2) (1,0)
The y intercept is -2.
The slope is 2.
Moving 2 units up and 1 unit to the right, we get (1,0)
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Actually Welcome to the concept of Parallel lines.
We must first understand that, Parallel Lines always have a same Slope, hence the 'm' value in y=mx+c equation will same, here it is '1/2' in the above equation,
so the points here are (-6,-17)
==>
(y-(-17)) = m(x-(-6))
==>
here m = 1/2 ,hence
y+17 = 1/2(x+6)
==> y+17 = 1/2(x) + 3
==> y = 1/2(x) + 3 - 17
==> y = 1/2(x) - 14
hence the Option 4.) is the correct answer!!