simplify (x-2y) - (1+2x+3y) + (2-3x+4y) = 3, solve for y,

[hhughes]

a) Simplify the following linear equation
(x-2y) - (1+2x+3y) + (2-3x+4y) = 3
and collect like terms.
b) Solve for y in terms of x.
c) Give the slope and the intercept.
d) Find the value of y at x=1 and give the ordered pair corresponding to this point.
e) Write the equation, with respect to this point, in point-slope form.

A:-4x-y+1=3

B:y=-4x-2

C: slope-4 -4/1 (0,-2)

D:y=2
x=1/4(-y-2)
intercept-2

 

[mmm4444bot]

I'm guessing that you would like somebody to check your answers.

A: -4x-y+1=3 <<< The numbers 1 and 3 are like terms; they can be combined by subtracting 1 from both sides. Everything else is okay.

B: y=-4x-2 <<< This is correct.

C: slope-4 -4/1 (0,-2) <<< This is correct, but there's no need to also write the slope as rise over run.

D: y=2 <<< This is wrong (check your work when x = 1); they also ask for the ordered pair of coordinates at this point.

x=1/4(-y-2) intercept-2 <<< If this is supposed to be part (e), then it's wrong.

Point-Slope form will look like: y - Y1 = m(x - X1)

They want you to use the (X1, Y1) values from part (d).