Question

-6x+5y=14
-6x+7y=-11
-6x+7y=11
-7x+6y=-11

Anything helps owo

Answer 1

-6x + 7y = 11

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)`

We have the points (-3, -1) and (1/2, 2). Substitute:

`m=(2-(-1))/((1)/(2)-(-3))=(3)/(3(1)/(2))=(3)/((7)/(2))=3\cdot(2)/(7)=(6)/(7)\\\\y-(-1)=(6)/(7)(x-(-3))\\\\y+1=(6)/(7)(x+3)}`

Convert to the standard form Ax + By = C:

`y+1=(6)/(7)(x+3)` multiply both sides by 7

`7y+7=6(x+3)` use the distributive property

`7y+7=6x+18` subtract 7 from both sides

`7y=6x+11` subtract 6x from both sides

`-6x+7y=11`