Question

Write an equation in standard form of the line that passes through the given points:

1. (2, -2) and (2, 6)

2. (-3, 4) and (3, 0)

Answer 1

Explanation:

The standard form for a line is Ax+By=C

First, we need to find the slope, or change in y over change in x. For the first one, this is

`(6-(-2))/(2-2)`, which is impossible to find as we cannot divide by 0, meaning that this is constant horizontally -- in this case, x=2. Thus, we have 1*x+0*y=2.

For the second one, we can find the slope by getting

`(0-4)/(3-(-3)) =(-4)/(6 ) = (-2)/(3)`. We can then take the point (3,0) (it can be any point on the line) and get our equation to be y-0 = (-2/3) (x-3). Converting this to standard form, we can expand this to get

y= (-2/3)*x +2

(-2/3)*x+1*y = 2