Question

Can Someone write This in standard form?

through: (3,5) Slope=5/3

Answer 1

The standard form of a line:

`Ax+By=C`

The point-slope form of a line:

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

We have the point (3, 5) and the slope m = 5/3. Substitute:

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

Convert it to the standard form:

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

`3y-15=5(x-3)` use distributive property

`3y-15=5x-15` add 15 to both sides

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

`5x-3y=0`