Question

Solve 1-12 or any of them please.

Answer 1

For 2, 3, 10, 11, 12, "intercept form" works nicely.
.. x/(x-intercept) +y/(y-intercept) = 1

2) x/4 +y/4 = 1 . . . . . an equation
.. x + y = 4 . . . . . . . . the equation in standard form

3) x/-3 +y/1 = 1 . . . . an equation
.. x -3y = -3 . . . . . . . the equation in standard form

10) x/4 +y/2 = 1
.. x +2y = 4 . . . . . . . in standard form

11) x/-3 +y/5 = 1
.. 5x -3y = -15 . . . . . in standard form

12) x/-10 +y/16 = 1
.. 8x -5y = -80 . . . . . in standard form


For the rest, the 2-point form of the equation of a line will work.
For points (x1, y1) and (x2, y2), the line through them can be written as
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1

1) y = (1 -(-3))/(1 -0)*(x -0) +(-3)
.. y = 4x -3

Answer 2

1. y = 4x - 3
2. y = -x + 4
3. y = 1/3x +1
4. y = ----
5. y = 1/7x + 2
6. y = -4x + 2.75
7. y = 3x + 5
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