Write a linear equation in standard form for the line that goes through (4,3)
and (8,2).

Ax + By = C

A, B and C can be any number--including negative numbers, zero and one! So examples of standard form can look like this:

3_x_ + 7_y_ = 10, where A = 3, B = 7 and C = 10.

Or they can look like this:

x + 5_y_ = 6. In this case, A = 1, B = 5 and C = 6.

Or this:

8_y_ = 9. In this case, A = 0, which is why x does not appear in the equation. B = 8 and C = 9, as you would expect.

And here's one more:

3_x_ − 5_y_ = 12. Here, A = 3, B = −5 and C = 12. Notice that in this case, B is negative five!

The standard form of a linear equation is Ax + By = C, where A, B and C can be any number.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: