Question

Line CD passes through points C(3.-5) and D(6.0). What is the equation of line CD in standard form?

5x + 3y = 18
5x - 3y = 30
5x - y = 30
5x + y = 18

Answer 1

5x-3y=30

Explanation:

took the unit test yall and got it right.

Answer 2

5x - 3y = 30

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

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We have the points C(3, -5) and D(6, 0).

Substitute:

`m=(0-(-5))/(6-3)=(5)/(3)`

use (6, 0):

`y-0=(5)/(3)(x-6)`

Convert to the standard form
`Ax+By=C`:

`y=(5)/(3)(x-6)` multiply both sides by 3

`3y=5(x-6)` use the distributive property

`3y=5x-30` subtract 5x from both sides

`-5x+3y=-30` change the signs

`5x-3y=30`