Answer:
1. -x + y = 3
m= 1
b= 3
2. -4x + 2y = 6
m= 2
b= 3
Step-by-step explanation:
Slope intercept is form to write equation for straight line.
It is represented as y = mx+ b
where m is the slope of line
B is the y intercept (pint on y axis where the line crosses y axis)
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Given
1. -x + y = 3
we need to convert this line in form of y = mx+ b
-x + y = 3
to do this we have to move - x from LHS to RHS
it can be done by adding both side +x which will eleminate -x from LHS
-x + y + x = 3 + X
=>y = 3 + x
=> y = x +c
Thus comparing it with slope form line: y = mx+ b
m =1
b = 3
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Given
1. -4x + 2y = 6
we need to convert this line in form of y = mx+ b
-4x + 2y = 6
to do this we have to move + 4x from LHS to RHS
it can be done by adding both side +4x which will eleminate -4x from LHS
-4x + 2y + 4x= 6 +4x
=>2y =6 +4x
Now we have to remove 2 from 2y =6 +4x
To do this we divide both side by 2 . now we have equation
=> 2y/2 =(6 +4x)/ 2 = 6/2 + 4x/2
=> y = 3 + 2x
Thus comparing it with slope form line: y = mx+ b
m = 2
b = 3
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Third part has 2x + =3 has y missing
it can be solved similarly.
say in place of y we have my where m is coefficient of y
2x + my =3
to do this we have to move + 2x from LHS to RHS
it can be done by subtracting -2x from both side which will eleminate 2x from LHS
2x + my -2x =3 -2x
=>my =3 -2x
Now we have to remove m from my =3 -2x
To do this we divide both side by m . now we have equation
=> my/m =(3 -2x)/ m = 3/m -2x/m
=> y = 3/m - 2x/m
Thus comparing it with slope form line: y = mx+ b
m = -2/m
b = 3/m
